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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 11 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

Typed states for the displayed outbound observations.

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

measured 62 of 62 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.890031Z digest=sha256:ae1530909022205dd9b7812b5f13209ebdb50445f199dbab7b5324bcc7cf969f

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

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source=pdf_text observed=2026-08-05T10:26:32.894585Z digest=sha256:083c17f089b593a79236c1dc49fc7516320a00c6c12993bf83b3b7ec60e605f8

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

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

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source=pdf_text observed=2026-08-05T10:26:32.899261Z digest=sha256:b2b92eee51727a91816a7dc44ebd19b0d2cbbada58a1420fafcfcc041dc067cf

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

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.904147Z digest=sha256:5b709a59d05ca324c375b63e9c6b86d53d854b7c66287d96f3406ddce5f83dfa

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.909217Z digest=sha256:201fb51256c56ed7c4a0d4c961f8f5a9635f769af09deb5275a2173143f1ceb9

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

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source=pdf_text observed=2026-08-05T10:26:32.913457Z digest=sha256:5b1aac9719ec42df2ff0ce5401bcf142131b9b414a3bc48a21499c94e277463b

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

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.917787Z digest=sha256:0a59325b0fa5b8a3e1651f282be90cc6324cde1f59cabc267fcf7162282ec823

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.922137Z digest=sha256:f29395eb0b719711110c2c22c0ca5d5758fd24fed5c8c4f13e90b2ae3318a8a0

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.927104Z digest=sha256:32ef646e9da8d4fa1023c970ac73c6f7cc041a004a9a5224c1f66da6d743b2df

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

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.931620Z digest=sha256:db25bfee5d1d26b76faea242f604794448dca15dd766730320192f2810c23b2a

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.936591Z digest=sha256:91e4743f369370c45f40888706e20da6c2e715a8576b6a98fe905f36d8dd5774

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

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source=pdf_text observed=2026-08-05T10:26:32.941180Z digest=sha256:0fe307c79e162b4553e7553b8fdfb44603b0b2f3658e345c74372cc3fa4e1fc4

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

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

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source=pdf_text observed=2026-08-05T10:26:32.946305Z digest=sha256:8a1a0ca618bcc8f2cc9e99e6aaf9c3ad5f571bc72ade99b4659d6f5ca52757c4

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

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source=pdf_text observed=2026-08-05T10:26:32.950819Z digest=sha256:e8192134fc3c1a11e1b1c13ffa14adfc37e66a5a6227b421adb032d0433c21f7

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.955355Z digest=sha256:52d4851f3d4f1f19e550adaf8bee8298548529c899de1ae6b37fe99bc44295d6

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.960421Z digest=sha256:43b5cde20f32fefe453f58cb1acfbe4805f3a2c2bb5515e61a65b71099765f6c

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

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source=pdf_text observed=2026-08-05T10:26:32.965118Z digest=sha256:08a1ec6e6e445a2ddf588de1a9295f331a2ac6c60b3691e690faeb7ca0bfd7b1

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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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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.974155Z digest=sha256:78b681f0990d6478d9faf976e7213e80b2904959d4f53423430ffb36d7cc5d78

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

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source=pdf_text observed=2026-08-05T10:26:32.978566Z digest=sha256:e2dd0d627b0c171d7e9d844ad5a8e243e1b33065343504af022b1a3527a32596

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.983064Z digest=sha256:9cea2e32c1652cc0dc886ba68b2b1c61a58ce8487181499885bddaaf09416572

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.987689Z digest=sha256:c5ceccbbf70daf9f3ec466616636b49ccfd37bf375e7e30b77961acbc534c85a

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.992080Z digest=sha256:43b6d8e3b29fe8edd2624f9528be2e602ce439891dbf0f68486af7b9b3408f1b

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

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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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:32.996223Z digest=sha256:a75251548677af0e52d957747b219d5780bde5e8f550ae596d95841bc134d615

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:33.000645Z digest=sha256:8b7edfe3265078902bb2995ba28d879ec9d3878b172e7b90aab7797ac3568689

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
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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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:33.005206Z digest=sha256:b5d4d64e4250a5f05ad10b982ea070616533f444dd74eba300df666df1896661

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

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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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T10:26:33.009619Z digest=sha256:e813682f34fefa0ce7cb94af5941d7eef654ddbbaf383f34f3eaeabb5eb90cca

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-28T20:29:27.710699Z digest=sha256:0da9985fa4862b0855b7575c2c0fd016923a1b87938316696071f93be63f93d4

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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source=pdf_text observed=2026-06-26T16:17:13.382418Z digest=sha256:61506502aad5a97c35e04edecdea7d0e241c2989f1124dd2303631f02269e8b3

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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source=arxiv_source observed=2026-07-01T04:55:56.724033Z digest=sha256:5e9363829c19a38c9a4de5bb77a33ba3fda773677d6ea3ac2c125abd94a6f7db