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Paper Citation Record · LEDGER

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions

As of 20 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 3 inbound Pith citation observations for arXiv:2509.04184.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.04184 v1

Coverage vector

measured 59 of 59 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-05T10:26:33.009619Z

measured 62 of 62 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T04:55:56.724033Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T05:09:36.452096Z

Reference resolution

59 of 59 outbound references displayed

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External citation measurements

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Outbound references

Observation 33b0e989-71e6-4de4-a3f3-2e152e84ab80 · outbound

This paper cites Ablowitz, Christopher W.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Ablowitz, Christopher W

Reference 1

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Observation 46916545-fcd7-460e-ad22-44be4be79b12 · outbound

This paper cites On mathematical models for Bose–Einstein condensates in optical lattices.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions On mathematical models for Bose–Einstein condensates in optical lattices

Reference 2

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Observation aa7e8332-2af2-4e94-9d28-e3472855ace9 · outbound

This paper cites Existence of solutions for semilinear elliptic equations with indefinite linear part.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Existence of solutions for semilinear elliptic equations with indefinite linear part

Reference 3

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Observation 8a0106ef-9717-49ec-af3c-9f0475fc4bb8 · outbound

This paper cites Functional analytic methods for discrete ap- proximations of subwavelength resonator systems.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Functional analytic methods for discrete ap- proximations of subwavelength resonator systems

Reference 4

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Observation 0a3eabfd-a62b-43ec-b095-03d41f2627d3 · outbound

This paper cites Mathematical theories for metamaterials: From condensed matter theory to subwavelength physics.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Mathematical theories for metamaterials: From condensed matter theory to subwavelength physics

Reference 5

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Observation 5c935aba-47e5-4da7-b80e-d9dcef7aab0d · outbound

This paper cites Math- ematical and computational methods in photonics and phononics , volume 235.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Math- ematical and computational methods in photonics and phononics , volume 235

Reference 6

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Observation 1e36fc44-9c51-4c72-83ea-1d31ce3f3c07 · outbound

This paper cites Nonlinear subwavelength resonances in three dimensions.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Nonlinear subwavelength resonances in three dimensions

Reference 7

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Observation 5c36c773-eb22-4171-942e-1b587d2f391c · outbound

This paper cites Dielectric scattering resonances for high-refractive resonators with cubic nonlinearity.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Dielectric scattering resonances for high-refractive resonators with cubic nonlinearity

Reference 8

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Observation a8aad91e-d536-448a-b9ed-b69d60367eff · outbound

This paper cites Nonlinear dispersive equations, volume 156 of Mathematical Surveys and Monographs.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Nonlinear dispersive equations, volume 156 of Mathematical Surveys and Monographs

Reference 9

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Observation 5f3bd8c9-77f0-4b46-b282-815077b3fb72 · outbound

This paper cites Universal edge transport in interacting hall systems.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Universal edge transport in interacting hall systems

Reference 10

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Observation f1ceb8d6-df08-47c8-9d27-de4b7c8a2f6c · outbound

This paper cites Exponential times in the one-dimensional Gross–Pitaevskii equation with multiple well potential.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Exponential times in the one-dimensional Gross–Pitaevskii equation with multiple well potential

Reference 11

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Observation 0b8901ee-ff14-4982-865e-90c9e5c41db1 · outbound

This paper cites Rabinowitz.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Rabinowitz

Reference 12

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Observation c7e720e7-55a2-43b2-975b-8c6d2af404ec · outbound

This paper cites Homoclinic solutions of discrete nonlinear Schr¨ odinger equations with asymptotically or super linear terms.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Homoclinic solutions of discrete nonlinear Schr¨ odinger equations with asymptotically or super linear terms

Reference 13

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Observation 14c6302a-7a52-413f-9506-869d6b61ca5d · outbound

This paper cites Perturbed Schr¨ odinger lattice systems: existence of homoclinic solutions.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Perturbed Schr¨ odinger lattice systems: existence of homoclinic solutions

Reference 14

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Observation 6325898b-b8bc-4d0e-88cf-27a1577de95f · outbound

This paper cites Discrete Schr¨ odinger equations and systems with mixed and concave- convex nonlinearities.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Discrete Schr¨ odinger equations and systems with mixed and concave- convex nonlinearities

Reference 15

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Observation 60a7bc74-dd5c-4f1f-bc5b-0d7c06b5aefa · outbound

This paper cites Conca, J.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Conca, J

Reference 16

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Observation 30edcf6b-374b-4e4a-9141-23a1b0056d73 · outbound

This paper cites Bifurcation of nonlinear Bloch waves from the spectrum in the Gross– Pitaevskii equation.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Bifurcation of nonlinear Bloch waves from the spectrum in the Gross– Pitaevskii equation

Reference 17

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Observation 155f2f78-2ba2-4f00-9583-1f3c39e06cbd · outbound

This paper cites Eilbeck, P.S.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Eilbeck, P.S

Reference 18

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Observation 70e61e5c-94c5-4a67-a75b-b36753d1b5fc · outbound

This paper cites an unresolved cited work.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Unresolved cited work

Reference 19

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Observation 3aedf8a7-b2d1-4523-815e-b3f803a97b3a · outbound

This paper cites Modal decompositions and point scatterer approximations near the minnaert resonance frequencies.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Modal decompositions and point scatterer approximations near the minnaert resonance frequencies

Reference 20

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Observation 2980929a-376b-47fd-8d49-67ced04fb041 · outbound

This paper cites Subwavelength resonant acoustic scattering in fast time-modulated media.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Subwavelength resonant acoustic scattering in fast time-modulated media

Reference 21

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Observation d30c29d0-8fcd-4e1c-aae8-0da348fdec07 · outbound

This paper cites Approximation of a two-dimensional Gross–Pitaevskii equation with a periodic potential in the tight-binding limit.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Approximation of a two-dimensional Gross–Pitaevskii equation with a periodic potential in the tight-binding limit

Reference 22

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Observation 6d0aac80-0f0c-48a0-a52a-304645936e4c · outbound

This paper cites Heinz, T.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Heinz, T

Reference 23

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Observation 931f64c2-9a46-4576-9487-996adf0ea83d · outbound

This paper cites Weinstein.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Weinstein

Reference 24

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Observation 55cd86be-d2c6-4b3b-ab63-d7c9243ff0df · outbound

This paper cites Hussein, M.J.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Hussein, M.J

Reference 25

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Observation 5a593375-a5c7-465c-8d50-83bf2c391bd6 · outbound

This paper cites Weinstein.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Weinstein

Reference 26

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Observation 4e12ace3-7f3d-40e1-b5d2-79f88520a831 · outbound

This paper cites A remark on least energy solutions in Rn.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions A remark on least energy solutions in Rn

Reference 27

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Observation 740c4391-8457-4cec-be72-e4ecbffec423 · outbound

This paper cites Existence of homoclinic solutions for higher-order periodic difference equations with p- laplacian.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Existence of homoclinic solutions for higher-order periodic difference equations with p- laplacian

Reference 28

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Observation 7e466e75-dd59-41ae-ac37-0bf932696603 · outbound

This paper cites K¨ upper and C.A.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions K¨ upper and C.A

Reference 29

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Observation a41b551d-e144-4b63-8494-fb74bc1232fc · outbound

This paper cites Wave propagation control at the deep subwavelength scale in metamaterials.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Wave propagation control at the deep subwavelength scale in metamaterials

Reference 30

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Observation 3f9d92c7-3da8-4388-8623-6178e5a4e958 · outbound

This paper cites A first course in Sobolev spaces , volume 181.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions A first course in Sobolev spaces , volume 181

Reference 31

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Observation e40e8f17-8b16-4570-ae7f-ffd7d96b9957 · outbound

This paper cites Edge solitons in nonlinear-photonic topological insulators.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Edge solitons in nonlinear-photonic topological insulators

Reference 32

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Observation 3000d2c2-da92-48b3-a6e1-3ba725b7db68 · outbound

This paper cites Topological bulk solitons in a nonlinear photonic chern insulator.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Topological bulk solitons in a nonlinear photonic chern insulator

Reference 33

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raw_fallback, observed 2026-08-05T10:26:33.455573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.890031Z digest=sha256:babe9f43faf092f6ce71466e7847a27f7a3a311ac3ea0c3f544bc96bf9139ad9

Observation 0adab2f8-9a85-4327-9b6a-a4483ddec675 · outbound

This paper cites Homoclinic solutions of periodic discrete Schr¨ odinger equations with local superquadratic conditions.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Homoclinic solutions of periodic discrete Schr¨ odinger equations with local superquadratic conditions

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.440853Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.894585Z digest=sha256:09f366242c261095689ba0ce198b114be7935774267e8d7738e89899a471e081

Observation 1b2e301d-60a1-451f-9b5f-391a916e2c6a · outbound

This paper cites The concentration-compactness principle in the calculus of variations.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions The concentration-compactness principle in the calculus of variations

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.426327Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.899261Z digest=sha256:198e107ab7a45b4b21fa49a54f360e9d2c66767ea0cc98fc7d477087e40560a5

Observation cb365e82-261b-477b-b6a7-ef35229853b3 · outbound

This paper cites Ma and P.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Ma and P

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.411782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.904147Z digest=sha256:fcffd2455b595f2b581ce013248ca935a86bdf0d5b005c95f605f49067f1ec2f

Observation a5eec82c-18b1-4586-bceb-2819a01a678e · outbound

This paper cites Mukherjee and M.C.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Mukherjee and M.C

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.397843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.909217Z digest=sha256:922ae00191b1be3dec2685254069103c94b163db58fef33f4d5e30af2c8a5ccd

Observation fffa2856-06be-4551-b350-11a280c2d760 · outbound

This paper cites Observation of Floquet solitons in a topological bandgap.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Observation of Floquet solitons in a topological bandgap

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.384370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.913457Z digest=sha256:42b3c917988856423b8b449d2d1da36f974b38e607edb2e0c5b856bcd108786e

Observation e9575e5d-5571-4bea-afa6-4bcb65f5397c · outbound

This paper cites an unresolved cited work.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:26:33.370080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.917787Z digest=sha256:07ac11051059bf99d07d636cecfe43c72a46e0b7195c7404fef86797275b845a

Observation 79d0aef0-3a10-4e13-b1b5-f1db36effe3c · outbound

This paper cites Gap solitons in periodic discrete nonlinear Schr¨ odinger equations with saturable non- linearities.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Gap solitons in periodic discrete nonlinear Schr¨ odinger equations with saturable non- linearities

Reference 40

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verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.355465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.922137Z digest=sha256:ef69720307ee620ef18ec817646dd28b6023f2932860973b0777c4568afbce36

Observation 6b8364d2-d3af-42a2-9fac-fd0968f41317 · outbound

This paper cites Bounds on the tight-binding approximation for the Gross– Pitaevskii equation with a periodic potential.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Bounds on the tight-binding approximation for the Gross– Pitaevskii equation with a periodic potential

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.340606Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.927104Z digest=sha256:3c495b77cec5a6dfb0b96c1596cb4843f73d6655aa07f5ae96f8f8493e36d9b2

Observation 90f8b85f-bfed-49d8-9196-f0d2e9e08523 · outbound

This paper cites an unresolved cited work.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:26:33.325825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.931620Z digest=sha256:d0520cdafd3eff799086d144e0db180b0a3cf127afae6e1e7e36b07df65ba952

Observation 6423f224-c35d-4304-8128-b32a41b72f93 · outbound

This paper cites Pelinovsky.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Pelinovsky

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.310962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.936591Z digest=sha256:033748d128cb5f77aa385a8d0e5073795e7e8144fac4543b8d053d39dfc94ee5

Observation 4ea66c94-db5a-4147-ac56-2af9daaba4dd · outbound

This paper cites Bulk-edge correspondence in finite photonic structure.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Bulk-edge correspondence in finite photonic structure

Reference 44

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unresolved
no resolver link, observed 2026-08-05T10:26:32.941180Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:26:32.941180Z digest=sha256:ca1a4f8eb70c947e669a458a76d1562f795d6895ece42b6b9213284b010e4196

Observation 4c2842f6-047e-4a35-b822-e0684235516b · outbound

This paper cites Derivation of the tight-binding approximation for time-dependent nonlinear Schr¨ odinger equations.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Derivation of the tight-binding approximation for time-dependent nonlinear Schr¨ odinger equations

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.294386Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.946305Z digest=sha256:eaceffaf3ce4abba48b3142472b845cf9c2babb2eedf9353a51956379a26080d

Observation 121ea552-ec49-4785-87e6-b182e673583c · outbound

This paper cites Perturbation theory for nonlinear Schr¨ odinger equations.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Perturbation theory for nonlinear Schr¨ odinger equations

Reference 46

Resolution
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raw_fallback, observed 2026-08-05T10:26:33.278962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.950819Z digest=sha256:b689d9ef7afd502c8a8c109c7b178c619df75da3be14dac59a76ae2504780695

Observation c99f194a-2bd3-4a2c-b816-bfa0d3f340e7 · outbound

This paper cites Shankar, A.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Shankar, A

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.263855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.955355Z digest=sha256:4d199a78321307302d08e7882e8d7e274166abbec7010373b7a585935fc71601

Observation 1828188d-075c-4085-b9b4-6255a4c61a4a · outbound

This paper cites Weinstein.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Weinstein

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.249801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.960421Z digest=sha256:e1511858ace08e0575ccdc117f936d665ec5cc194d289acdceffe94654a103aa

Observation 19d56f90-6f96-438e-83c5-9fac0ef09b1e · outbound

This paper cites Existence of gap solitons in periodic discrete nonlinear Schr¨ odinger equations.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Existence of gap solitons in periodic discrete nonlinear Schr¨ odinger equations

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.235235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.965118Z digest=sha256:d5d0f9d2326c7c1c3bd315882367099d26ce76887b6d9fa313ecc09cb61742ce

Observation 2060bf9c-e3c4-4253-a6dc-58d9ff851f3e · outbound

This paper cites Nonlinear topological photonics.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Nonlinear topological photonics

Reference 50

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no resolver link, observed 2026-08-05T10:26:32.969767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:26:32.969767Z digest=sha256:88a0e86a309dc756818f805f37aed619d0de22dac857cdbdc716c94c885de61a

Observation 735feb42-2ed3-4463-a92d-788a34fe3d84 · outbound

This paper cites Smirnova, Lev A.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Smirnova, Lev A

Reference 51

Resolution
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raw_fallback, observed 2026-08-05T10:26:33.211519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.974155Z digest=sha256:632cd44a1fac0e16fe341d378d1b24d4de2bcba5f14b3ea2b67fbf2eb2d545b1

Observation a543b861-2f9d-419d-887a-7b448fd5d894 · outbound

This paper cites Nonlinearity- induced topological phase transition characterized by the nonlinear chern number.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Nonlinearity- induced topological phase transition characterized by the nonlinear chern number

Reference 52

Resolution
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raw_fallback, observed 2026-08-05T10:26:33.197982Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.978566Z digest=sha256:2620a8322024b37faac3763e36fd77f45f7f4826eecb21d7b708a0fb0566d47d

Observation f8dd869e-0ea4-4275-b507-d22601fcfd00 · outbound

This paper cites an unresolved cited work.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:26:33.183181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.983064Z digest=sha256:3772bccbd7a4cc316a5883318ec2fbfaa5e79622490fbc6101be17f4065e47e8

Observation 9e92fa92-15b7-40ed-a7d7-698a691030bc · outbound

This paper cites Szameit and M.C.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Szameit and M.C

Reference 54

Resolution
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raw_fallback, observed 2026-08-05T10:26:33.168559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.987689Z digest=sha256:6cbf51340e5a64fe603efbf82ad891e69f4849f8043de3df2deefb31366cd3e2

Observation b5f7059c-9a99-4c34-9d26-fd2ee68a057c · outbound

This paper cites Veenstra, O.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Veenstra, O

Reference 55

Resolution
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raw_fallback, observed 2026-08-05T10:26:33.152574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.992080Z digest=sha256:653f3b92b0a7b75680e066a2ee4919f3dbbcf8472e5b7398e782b2a6a490df12

Observation 7f8595a0-6a30-4a08-85bc-b9ad587ac8b4 · outbound

This paper cites Finite element method and its analysis for a nonlinear helmholtz equation with high wave numbers.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Finite element method and its analysis for a nonlinear helmholtz equation with high wave numbers

Reference 56

Resolution
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raw_fallback, observed 2026-08-05T10:26:33.136866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:32.996223Z digest=sha256:4edee9a6fbd7a3514517a0c870e874227627d8236744e468c8646e9e86f06263

Observation 7bc8f04b-a332-468f-ba41-ecef6dd4b4d4 · outbound

This paper cites Breather solutions of the discrete nonlinear Schr¨ odinger equations with unbounded po- tentials.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Breather solutions of the discrete nonlinear Schr¨ odinger equations with unbounded po- tentials

Reference 57

Resolution
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raw_fallback, observed 2026-08-05T10:26:33.121754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:33.000645Z digest=sha256:65c7386bbe0b5ac8939932ebb7bbebcb11003dcb3077a6b2d802a70ce75c326a

Observation a693406f-dfdc-45e3-87f0-e9ef22712d8f · outbound

This paper cites On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.106273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:33.005206Z digest=sha256:f55f7e85f60c2f4b4f28730aedcc3e629dbe2acbcc5ccf52321997db21a9d220

Observation 94fec7e2-30ca-4428-8a92-5a9a41f8c879 · outbound

This paper cites On the existence of gap solitons in a periodic discrete nonlinear Schr¨ odinger equation with saturable nonlinearity.Nonlinearity, 23(7):1727, 2010.

Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions On the existence of gap solitons in a periodic discrete nonlinear Schr¨ odinger equation with saturable nonlinearity.Nonlinearity, 23(7):1727, 2010

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:26:33.089590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:26:33.009619Z digest=sha256:a83b385f3b9565a0efe5cd55ec637f55cb02b90c80607d10ed340ad542bd8c49

Pith citing papers

Observation e00b5958-60ea-4fa0-b2a6-2d42a72bdc73 · inbound

Resolvent Convergence and Patch Approximation for Subwavelength Guided Modes in Non-Periodic Systems of High-Contrast Resonators cites this paper.

Resolvent Convergence and Patch Approximation for Subwavelength Guided Modes in Non-Periodic Systems of High-Contrast Resonators Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions

Reference 16

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arxiv_id, observed 2026-06-28T20:32:37.303825Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T20:29:27.710699Z digest=sha256:cf3ab8297b95a4f27973e21bae122ccb43b874569c9ea76bae2c331b3d9cdf2e

Observation 0671b863-9422-4eea-a88f-84166f91e193 · inbound

Perturbative Approach to Nonlinear Capacitance Matrix Formulations cites this paper.

Perturbative Approach to Nonlinear Capacitance Matrix Formulations Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions

Reference 10

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arxiv_id, observed 2026-07-04T05:09:36.454437Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-26T16:17:13.382418Z digest=sha256:25eca57f9f96b0c9f2c762a82b0f45708fc2acf288b14098b80f38607a7ac071

Observation 7aea6608-26e1-43fc-9e00-793d871a024d · inbound

Nonlinear subwavelength resonances and bound states in the continuum in metascreens cites this paper.

Nonlinear subwavelength resonances and bound states in the continuum in metascreens Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions

Reference 32

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metadata mismatch
arxiv_id, observed 2026-07-01T10:55:42.019136Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-07-01T04:55:56.724033Z digest=sha256:ee8ebae891e7f5bea02198677e34c6691b2f040eb97e335bcec6c2442124a9eb