Paper Citation Record · LEDGER

Traveling wave profiles for a semi-discrete Burgers equation

As of 18 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 3 inbound Pith citation observations for arXiv:2504.12171.

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

pith.paper-citation-record.v1
2504.12171 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:40:28.249986Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:19:03.458026Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T18:00:01.297374Z

Reference resolution

40 of 40 outbound references displayed

verified exact12
verified fuzzy13
unresolved9
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 92d84869-0b7b-4f89-8af1-aeaba501a09d · outbound

This paper cites Hydrodynamics of a discrete conservation law.

Traveling wave profiles for a semi-discrete Burgers equation Hydrodynamics of a discrete conservation law

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.749647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9538a467-6ae9-4288-9f83-888f87e12e1f · outbound

This paper cites A Hidden Convexity in Continuum Mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity.

Traveling wave profiles for a semi-discrete Burgers equation A Hidden Convexity in Continuum Mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:27.910644Z

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Observation 1b5f3960-702c-4397-9a90-24f1220cc790 · outbound

This paper cites A dual variational principle for nonlinear dislocation dynamics.

Traveling wave profiles for a semi-discrete Burgers equation A dual variational principle for nonlinear dislocation dynamics

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:27.919786Z

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Unavailable: canonical work link unavailable.

Observation d2b2241d-9e49-41bd-8147-7cb650756039 · outbound

This paper cites Variational principle for nonlinear PDE systems via duality.

Traveling wave profiles for a semi-discrete Burgers equation Variational principle for nonlinear PDE systems via duality

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:27.930106Z

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Unavailable: canonical work link unavailable.

Observation 33e8bc5d-be1e-4f56-b165-5f925916708b · outbound

This paper cites Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach.

Traveling wave profiles for a semi-discrete Burgers equation Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.687396Z

Source-reported events for the cited work

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Observation 62c2eb9d-d183-404c-8c4e-38caca7d61a9 · outbound

This paper cites Inviscid Burgers as a degenerate elliptic problem.

Traveling wave profiles for a semi-discrete Burgers equation Inviscid Burgers as a degenerate elliptic problem

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:27.948207Z

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Unavailable: canonical work link unavailable.

Observation e86734e6-9005-4c39-a219-de6802dde16b · outbound

This paper cites A hidden convexity of nonlinear elas- ticity.

Traveling wave profiles for a semi-discrete Burgers equation A hidden convexity of nonlinear elas- ticity

Reference 7

Resolution: verified exact; doi, observed 2026-08-16T12:40:28.713705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3f5ec97f-6a12-479a-8d7b-09010a3e162b · outbound

This paper cites Variational dual solutions for incom- pressible fluids.

Traveling wave profiles for a semi-discrete Burgers equation Variational dual solutions for incom- pressible fluids

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:27.968201Z

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Unavailable: canonical work link unavailable.

Observation 32b0a58e-3cdb-433d-a33c-3a321ae9866b · outbound

This paper cites The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem.

Traveling wave profiles for a semi-discrete Burgers equation The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.654994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d7f3c877-a4cc-4d39-b35c-413ddefeec42 · outbound

This paper cites Examples of hidden convexity in nonlinear PDEs.

Traveling wave profiles for a semi-discrete Burgers equation Examples of hidden convexity in nonlinear PDEs

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.624558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 48cb2279-81d7-4f00-9643-34c19cbf3bac · outbound

This paper cites Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems.

Traveling wave profiles for a semi-discrete Burgers equation Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.594776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0bf6f85e-fe33-4194-845b-0a438a0158b4 · outbound

This paper cites Dafermos' principle and Brenier's duality scheme for defocusing dispersive equations.

Traveling wave profiles for a semi-discrete Burgers equation Dafermos' principle and Brenier's duality scheme for defocusing dispersive equations

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:40:29.164167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 197d7198-1625-41c3-b24f-c1a51d6fa325 · outbound

This paper cites Discretization and convergence of the ballistic Benamou-Brenier formulation of the porous medium and Burgers’ equations.

Traveling wave profiles for a semi-discrete Burgers equation Discretization and convergence of the ballistic Benamou-Brenier formulation of the porous medium and Burgers’ equations

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.568543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dd1258de-166c-48b1-b3e8-df397809fef1 · outbound

This paper cites Equation of an extraordinary soliton.

Traveling wave profiles for a semi-discrete Burgers equation Equation of an extraordinary soliton

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.544896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5ee244f2-08fc-477c-81c1-ea2948064a29 · outbound

This paper cites Convergence of Petviashvili’s iteration method for numerical approximation of stationary solutions of nonlinear wave equations.

Traveling wave profiles for a semi-discrete Burgers equation Convergence of Petviashvili’s iteration method for numerical approximation of stationary solutions of nonlinear wave equations

Reference 15

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Observation c0be2ca0-d488-49a4-b045-148ce1cf28cd · outbound

This paper cites Oscillatory waves in discrete scalar conservation laws.

Traveling wave profiles for a semi-discrete Burgers equation Oscillatory waves in discrete scalar conservation laws

Reference 16

Resolution: verified exact; doi, observed 2026-08-16T12:40:28.667794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3ef15749-ad44-4364-bf70-352dff60a056 · outbound

This paper cites Solitary waves in FPU-type lattices.

Traveling wave profiles for a semi-discrete Burgers equation Solitary waves in FPU-type lattices

Reference 17

Resolution: metadata mismatch; raw_fallback, observed 2026-08-16T12:40:29.134461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d7f1e263-1e89-4629-939d-71b479b00e5b · outbound

This paper cites Existence theorem for solitary waves on lat- tices.

Traveling wave profiles for a semi-discrete Burgers equation Existence theorem for solitary waves on lat- tices

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:28.066161Z

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Observation a8c7dfc8-3884-4d59-ba21-4b2fdbcaf17d · outbound

This paper cites Solitary waves with prescribed speed on infinite lattices.

Traveling wave profiles for a semi-discrete Burgers equation Solitary waves with prescribed speed on infinite lattices

Reference 19

Resolution: verified exact; raw_fallback, observed 2026-08-16T12:40:28.929647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dc638ba4-0e24-4fbe-9f4d-16b4fd6c7e4c · outbound

This paper cites Unimodal wavetrains and solitons in convex Fermi-Pasta-Ulam chains.

Traveling wave profiles for a semi-discrete Burgers equation Unimodal wavetrains and solitons in convex Fermi-Pasta-Ulam chains

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.521002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 219a6380-703a-4d34-8ec7-bdcb9ab0eef0 · outbound

This paper cites Existence of solitary waves in one dimensional peri- dynamics.

Traveling wave profiles for a semi-discrete Burgers equation Existence of solitary waves in one dimensional peri- dynamics

Reference 21

Resolution: verified exact; doi, observed 2026-08-16T12:40:28.629867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8578e339-a0bb-4c0e-bb77-d08a1b3afcf5 · outbound

This paper cites Korteweg–de Vries waves in peridynamical media.

Traveling wave profiles for a semi-discrete Burgers equation Korteweg–de Vries waves in peridynamical media

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.496621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a6dc7ccf-7439-458d-967e-c735031f6917 · outbound

This paper cites Nonlinear and nonlocal eigenvalue problems: vari- ational existence, decay properties, approximation, and universal scaling limits.

Traveling wave profiles for a semi-discrete Burgers equation Nonlinear and nonlocal eigenvalue problems: vari- ational existence, decay properties, approximation, and universal scaling limits

Reference 23

Resolution: verified exact; doi, observed 2026-08-16T12:40:28.593033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 295a4cc1-ae46-494b-83bc-75ce3ae9da31 · outbound

This paper cites Solitary waves on FPU lattices. I. Qualitative properties, renormalization and continuum limit.

Traveling wave profiles for a semi-discrete Burgers equation Solitary waves on FPU lattices. I. Qualitative properties, renormalization and continuum limit

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:28.116902Z

Source-reported events for the cited work

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Observation 4592137f-95ff-44a9-91d9-615c58512269 · outbound

This paper cites Travelling waves in the Fermi-Pasta-Ulam lattice.

Traveling wave profiles for a semi-discrete Burgers equation Travelling waves in the Fermi-Pasta-Ulam lattice

Reference 25

Resolution: verified exact; doi, observed 2026-08-16T12:40:28.542089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 28121b2f-471f-4aae-9050-b336c132a715 · outbound

This paper cites Localized waves in nonlinear oscillator chains.

Traveling wave profiles for a semi-discrete Burgers equation Localized waves in nonlinear oscillator chains

Reference 26

Resolution: verified exact; doi, observed 2026-08-16T12:40:28.500090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7139a1e4-4528-401d-9e73-bde60ec8e558 · outbound

This paper cites Periodic travelling waves and compactons in granular chains.

Traveling wave profiles for a semi-discrete Burgers equation Periodic travelling waves and compactons in granular chains

Reference 27

Resolution: malformed identifier; no resolver link, observed 2026-08-16T12:40:28.142571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a99a5a9-13c5-45bc-b5f5-7c2ed71259ea · outbound

This paper cites KdV waves in atomic chains with nonlocal in- teractions.

Traveling wave profiles for a semi-discrete Burgers equation KdV waves in atomic chains with nonlocal in- teractions

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.469584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8dc2e6f7-a62c-470a-ab07-622a2cf5880f · outbound

This paper cites Existence of solitary waves in particle lattices with power-law forces.

Traveling wave profiles for a semi-discrete Burgers equation Existence of solitary waves in particle lattices with power-law forces

Reference 29

Resolution: malformed identifier; no resolver link, observed 2026-08-16T12:40:28.167234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e21a6b1e-ba79-49df-ad17-6dda0965c0b9 · outbound

This paper cites Solitary-wave solutions of nonlinear problems.

Traveling wave profiles for a semi-discrete Burgers equation Solitary-wave solutions of nonlinear problems

Reference 30

Resolution: verified exact; raw_fallback, observed 2026-08-16T12:40:28.833965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c996ebbd-3269-48c7-963d-e05ed77485c4 · outbound

This paper cites Solitary waves in nonlinear dispersive systems.

Traveling wave profiles for a semi-discrete Burgers equation Solitary waves in nonlinear dispersive systems

Reference 31

Resolution: verified exact; doi, observed 2026-08-16T12:40:28.403172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6c21654e-29a3-42af-82c5-9d08e28ac3a0 · outbound

This paper cites Speed of wave packets and the nonlinear Schr¨ odinger equation.

Traveling wave profiles for a semi-discrete Burgers equation Speed of wave packets and the nonlinear Schr¨ odinger equation

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-16T12:40:28.188274Z

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Observation 74680b37-5df4-41a1-a42f-2897020a2d0a · outbound

This paper cites An action for nonlinear dislocation dynamics.

Traveling wave profiles for a semi-discrete Burgers equation An action for nonlinear dislocation dynamics

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.435127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1a612008-050f-4550-875d-1b7d45743d24 · outbound

This paper cites Functional analysis, Sobolev spaces and partial differential equations.

Traveling wave profiles for a semi-discrete Burgers equation Functional analysis, Sobolev spaces and partial differential equations

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.406383Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9f35068e-cd79-4dc6-b8d1-82823479c60b · outbound

This paper cites Bauschke and Patrick L.

Traveling wave profiles for a semi-discrete Burgers equation Bauschke and Patrick L

Reference 35

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Source-reported events for the cited work

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Observation e3ac4f4f-5154-4b32-9d00-92a53147aade · outbound

This paper cites Compactness in L2 and the Fourier transform.

Traveling wave profiles for a semi-discrete Burgers equation Compactness in L2 and the Fourier transform

Reference 36

Resolution: verified exact; doi, observed 2026-08-16T12:40:28.331910Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d5bca853-f1d1-4fec-94ae-9979fcf3eeb5 · outbound

This paper cites On Long Waves and Solitons in Particle Lattices with Forces of Infinite Range.

Traveling wave profiles for a semi-discrete Burgers equation On Long Waves and Solitons in Particle Lattices with Forces of Infinite Range

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:40:29.383111Z

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Observation 08dbb47d-05a1-4f45-811f-6ba837cadd19 · outbound

This paper cites Optim: A mathematical optimization package for Julia.

Traveling wave profiles for a semi-discrete Burgers equation Optim: A mathematical optimization package for Julia

Reference 38

Resolution: malformed identifier; raw_fallback, observed 2026-08-16T12:40:29.349190Z

Source-reported events for the cited work

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Observation 067d3edb-284c-4bfe-ac5f-4d2615d35c13 · outbound

This paper cites On the solitary wave pulse in a chain of beads.

Traveling wave profiles for a semi-discrete Burgers equation On the solitary wave pulse in a chain of beads

Reference 39

Resolution: malformed identifier; no resolver link, observed 2026-08-16T12:40:28.249986Z

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Observation 2b1e1988-5cf2-4bbe-b29a-a66adedc099c · outbound

This paper cites url: https://doi.org/10.3934/dcds.2016.36.

Traveling wave profiles for a semi-discrete Burgers equation url: https://doi.org/10.3934/dcds.2016.36

Reference 5231

Resolution: verified exact; doi, observed 2026-08-16T12:40:28.452582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation fbe5b06b-79d5-4eb9-bffe-abef0f5ac597 · inbound

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials cites this paper.

A new perspective in linear Cauchy Elasticity: variational minimum principles for statics, dynamics, and heterogeneous materials Traveling wave profiles for a semi-discrete Burgers equation

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-04T18:00:01.299122Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 89d52f02-a73d-4f4f-83ef-1811d4db5de8 · inbound

Dual Variational Principles for Curl Forces cites this paper.

Dual Variational Principles for Curl Forces Traveling wave profiles for a semi-discrete Burgers equation

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T15:19:03.458026Z

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Unavailable: canonical work link unavailable.

Observation f9f1465e-01e9-441a-a286-a6295eb40706 · inbound

Solving the Dissipation Inequality not as a constitutive restriction cites this paper.

Solving the Dissipation Inequality not as a constitutive restriction Traveling wave profiles for a semi-discrete Burgers equation

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T11:23:45.185529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.