Paper Citation Record · LEDGER

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation

As of 12 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2608.03139.

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

pith.paper-citation-record.v1
2608.03139 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T01:11:48.527734Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

41 of 41 outbound references displayed

verified exact0
verified fuzzy34
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a957c218-9b3f-42e3-bd35-cb9bf5f7540c · outbound

This paper cites Whitham, Linear and Nonlinear Waves,Wiley, New York(1974).

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Whitham, Linear and Nonlinear Waves,Wiley, New York(1974)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:55.522465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a7c2c209-879d-4510-8d98-5d6452170700 · outbound

This paper cites Masoudi, S.V.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Masoudi, S.V

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:55.257816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ee2d2bab-621a-4b71-8cb7-ec3ccc88c316 · outbound

This paper cites Trillo, M.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Trillo, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:55.081384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6f1cad93-ec20-4702-af2e-6cd7a6ef787e · outbound

This paper cites Taylor, D.R.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Taylor, D.R

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:54.879901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f5d87e58-a54a-4a2a-b0ad-b3ef850c81e8 · outbound

This paper cites Medvedev, Ion motion upon propagation and collisions of the ion-acoustic solitary saves in plasma, Plasma Phys.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Medvedev, Ion motion upon propagation and collisions of the ion-acoustic solitary saves in plasma, Plasma Phys

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:54.674386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 65567c6b-d05a-49ef-a4f1-1b4ea79d6cff · outbound

This paper cites Boumaza, T.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Boumaza, T

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:54.550464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b09937f0-562a-4871-b93b-5c0d1516034c · outbound

This paper cites an unresolved cited work.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T01:11:54.449238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 54f0a1db-f8b1-41c2-8596-c4a8204efd37 · outbound

This paper cites Simula, P.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Simula, P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:54.407415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b2087466-c595-405c-acb5-084c96e29574 · outbound

This paper cites Hoefer, M.J.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Hoefer, M.J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:54.266250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 72695ad5-45d7-4b1c-9127-a5ffd7b32138 · outbound

This paper cites Chang, P.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Chang, P

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:54.073955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5a5ad4e5-971c-452a-8208-361db6ea2558 · outbound

This paper cites Hoefer, P.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Hoefer, P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:53.952441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a6cc9d67-d825-4582-804d-109b878e8a99 · outbound

This paper cites Ivanov, A.M.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Ivanov, A.M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:53.770641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 90c834be-84a5-4a08-bc39-8a5a1fc2100c · outbound

This paper cites Hoefer, M.J.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Hoefer, M.J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:53.588436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e4817ab0-57fb-449b-98af-9a19b1247056 · outbound

This paper cites an unresolved cited work.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T01:11:53.447295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 57653d10-d053-4a2a-83da-aa04bae32dde · outbound

This paper cites Gurevich, L.P.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Gurevich, L.P

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:53.305117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 25fb935b-7bce-4495-8b5f-61c9c1f3071f · outbound

This paper cites Kamchatnov, Gurevich–Pitaevskii problem and its development,Phys.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Kamchatnov, Gurevich–Pitaevskii problem and its development,Phys

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:53.175960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9ecddb86-049a-4eef-ad61-4884f399bfde · outbound

This paper cites Gross, Structure of a quantized vortex in boson systems,Nuovo Cim20(1961) 454.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Gross, Structure of a quantized vortex in boson systems,Nuovo Cim20(1961) 454

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:53.017288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 21ec714e-cf1e-4fb2-a0cc-3dfe4f2e32cc · outbound

This paper cites Pitaevskii, Vortex lines in an imperfect Bose gas,Sov.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Pitaevskii, Vortex lines in an imperfect Bose gas,Sov

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:52.839369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e19c4068-b04b-4fd0-8524-85dc07132207 · outbound

This paper cites El, R.H.J.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation El, R.H.J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:52.692433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2175a1f9-8f79-41bc-8f61-eaa527264507 · outbound

This paper cites Grava, C.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Grava, C

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:52.531996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0fcfbc51-eb83-4f42-a861-9a2adc4d2e79 · outbound

This paper cites an unresolved cited work.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T01:11:52.395737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f93f984e-a2b3-4b06-8b2b-0d2c2927966f · outbound

This paper cites Kamchatnov, Wave breaking in dispersive fluid dynamics of the Bose–Einstein condensate,J.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Kamchatnov, Wave breaking in dispersive fluid dynamics of the Bose–Einstein condensate,J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:52.222727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c5d1bb4b-227f-4ebb-9cce-0cac5825d58e · outbound

This paper cites an unresolved cited work.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T01:11:52.028613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2b46e276-fe79-4a51-8e20-72f7f31fd85f · outbound

This paper cites an unresolved cited work.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T01:11:51.892706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6b77e41c-c113-4a93-9be3-0e1d54d4f25c · outbound

This paper cites Huang, R.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Huang, R

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:51.757809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 424106e7-65a7-4683-a784-8001800365dd · outbound

This paper cites Grava, F.R.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Grava, F.R

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:51.576961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 020519a5-0958-4333-a687-97a001db5b0a · outbound

This paper cites an unresolved cited work.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T01:11:51.222656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fddaac90-69c1-48bd-b5b9-e9414b1c7614 · outbound

This paper cites Ablowitz, D.E.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Ablowitz, D.E

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:51.412355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2bc3bbba-8187-4ed6-9927-f36d283612fa · outbound

This paper cites Biondini, Y.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Biondini, Y

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:51.030207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1725c66d-7145-4011-8d6f-08644e8662c3 · outbound

This paper cites Moses, The head-on collision of a shock wave and a rarefaction wave in one dimension,J.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Moses, The head-on collision of a shock wave and a rarefaction wave in one dimension,J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:50.856127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 08d11ae5-9a6a-4abf-a55a-a68440e8037e · outbound

This paper cites Arsenin, N.N.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Arsenin, N.N

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:50.662623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d247804e-9689-4b3b-abd5-0c399a7da08a · outbound

This paper cites Hasimoto, Interaction of a simple expansion wave with a shock wave in two-dimensional flows of a gas,J.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Hasimoto, Interaction of a simple expansion wave with a shock wave in two-dimensional flows of a gas,J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:50.464292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e301af9c-7f59-4a6f-a6fc-64f6c1db07a8 · outbound

This paper cites Hirota, Exact envelope-soliton solutions of a nonlinear wave equation,J.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Hirota, Exact envelope-soliton solutions of a nonlinear wave equation,J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:50.298636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8f51c6f0-c38d-4e93-b907-d48e565d6de2 · outbound

This paper cites an unresolved cited work.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T01:11:50.063688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8cdb83fe-eb39-4b35-bb06-c6397b9f002d · outbound

This paper cites Xiang, R.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Xiang, R

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:49.854872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 86930ea9-bc89-45fd-8c6b-c74e82e05639 · outbound

This paper cites Kamchatnov, Nonlinear Periodic Waves and Their Modulations,World Scientific, Singapore (2000).

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Kamchatnov, Nonlinear Periodic Waves and Their Modulations,World Scientific, Singapore (2000)

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:49.695414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6c9e92ca-7380-4c27-a157-8bbf61463d1f · outbound

This paper cites Weideman, B.M.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Weideman, B.M

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:49.500372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b6daba83-5fb5-4ef6-a657-05fb694b6ae2 · outbound

This paper cites Kamchatnov.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Kamchatnov

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:49.315686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 86dee7b9-d3de-4435-965a-86244ee2a924 · outbound

This paper cites Tricomi, Differential Equations,Blackie and Sons, Boston1961.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Tricomi, Differential Equations,Blackie and Sons, Boston1961

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:49.141215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ab3578a1-85c8-481c-b364-6994f2571a5d · outbound

This paper cites Kodama, V.U.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Kodama, V.U

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:48.894940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7992b1b5-b807-4cf1-a12b-87215458ee64 · outbound

This paper cites Abramowitz, I.A.

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation Abramowitz, I.A

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T01:11:48.737430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.