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Paper Citation Record · LEDGER

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation

As of 11 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.14236.

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

pith.paper-citation-record.v1
2506.14236 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:24:12.609637Z

measured 32 of 32 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 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

32 of 32 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved21
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 49828cc3-f0b8-4566-92ae-e0cd892702fd · outbound

This paper cites merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 1

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no resolver link, observed 2026-08-07T00:24:04.107283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:04.107283Z digest=sha256:53f3a25db0143356b551406fd8306229f71517e9488a1af3fb532c534a208269

Observation 62e2596c-2979-4cf4-aa8f-88496635d082 · outbound

This paper cites merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 2

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no resolver link, observed 2026-08-07T00:24:11.796930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:11.796930Z digest=sha256:e69cbbee656a5fadeba38e4d30d5f582993f2ff5345d0d34bc7bd45fc2d4e9c9

Observation 5eeb3cfa-5df3-4c3e-9407-dc10bc4ccf96 · outbound

This paper cites merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 3

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no resolver link, observed 2026-08-07T00:24:12.028059Z

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source=arxiv_source observed=2026-08-07T00:24:12.028059Z digest=sha256:fce0e2bbd1d5ac8367893b2467184db17f3c21cb4ad0f3cb836e63c00ef8fc4c

Observation c143bde2-64c5-42ba-910e-7e6cd3c96d46 · outbound

This paper cites merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 4

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no resolver link, observed 2026-08-07T00:24:12.106573Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-07T00:24:12.106573Z digest=sha256:fad07f2b4da99b801d0001abfc4ec4e2736326731a21271eaeda44bde9638e1a

Observation 7c7d1073-66f6-4b57-95e9-564cd2bb4606 · outbound

This paper cites merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 5

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source=arxiv_source observed=2026-08-07T00:24:12.163410Z digest=sha256:2c4874be4ba83adb67eb9cd0c410e845db66c4c0db5166563eb9f0dd8f903bc0

Observation 05f3d8d5-2117-4858-bb94-67e2ccf2520e · outbound

This paper cites Zhang , author H.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Zhang , author H

Reference 6

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verified fuzzy
raw_fallback, observed 2026-08-07T00:24:13.008754Z

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=arxiv_source observed=2026-08-07T00:24:12.231572Z digest=sha256:b964b45604700690daa7fa8578f8fc1ed10b4e40738ab68a17455f33de044922

Observation 1aba4637-684c-4391-91e2-53f3f136684d · outbound

This paper cites Cheng , author P.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Cheng , author P

Reference 7

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raw_fallback, observed 2026-08-07T00:24:12.994521Z

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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 bb338719-8b26-4511-9298-f1685c22dbe1 · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Unresolved cited work

Reference 8

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source=arxiv_source observed=2026-08-07T00:24:12.350839Z digest=sha256:1ca67c3838ff59c947bc27a266ffea6d81410d2fd31fd80ed5dd06d8e772b29c

Observation c759f05d-c109-4137-ac65-4d2960635ac5 · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Unresolved cited work

Reference 9

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

source=arxiv_source observed=2026-08-07T00:24:12.384903Z digest=sha256:320960364485fb9afd401db327cfa84fa9acdcfe780efea8174520f7fa3ab028

Observation 652c759a-df7d-4519-a9d8-04f8eff7c64a · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Unresolved cited work

Reference 10

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raw_fallback, observed 2026-08-07T00:24:12.964741Z

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=arxiv_source observed=2026-08-07T00:24:12.442818Z digest=sha256:546c7cbdfcc4e3182ef460f96d5e8214fd331461db71c6f3a8170cdd6a589230

Observation f9b3f81a-a922-44e9-8c8b-b730fa7bd5b3 · outbound

This paper cites Brandt \ and\ author K.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Brandt \ and\ author K

Reference 11

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verified fuzzy
raw_fallback, observed 2026-08-07T00:24:12.950991Z

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=arxiv_source observed=2026-08-07T00:24:12.454363Z digest=sha256:a536936b0ebd69943d8fa10da0ccb06d9caaf421be4706a3f2967d7e69da3c9b

Observation e4ee0d34-e1f2-4a6c-9ab9-d55890d4abf5 · outbound

This paper cites Deepwell \ and\ author M.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Deepwell \ and\ author M

Reference 12

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verified fuzzy
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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=arxiv_source observed=2026-08-07T00:24:12.465126Z digest=sha256:bf7ee3e8d475b37fe49b523f0bec34c7df5931fd7b75613630d4d0dda9b40109

Observation 37caca6f-54b9-40d8-9309-8a298e27addc · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Unresolved cited work

Reference 13

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raw_fallback, observed 2026-08-07T00:24:12.923182Z

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

source=arxiv_source observed=2026-08-07T00:24:12.474370Z digest=sha256:a6e9a1e1456ce73c6e854c0a5b90f76ca6966b2d930c45a20753c4b98ffa5034

Observation 7213a116-8657-4650-b202-994c7d13877e · outbound

This paper cites Choi ,\ title title High-order strongly nonlinear long wave approximation and solitary wave solution.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Choi ,\ title title High-order strongly nonlinear long wave approximation and solitary wave solution

Reference 14

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verified fuzzy
raw_fallback, observed 2026-08-07T00:24:12.909032Z

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

source=arxiv_source observed=2026-08-07T00:24:12.483145Z digest=sha256:7b142e3f2d9d3fd79773469ac79d216e65169d2a0379920970923f2d61c611b1

Observation 6e9b58bd-681a-4924-884d-59a59476ab0c · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Unresolved cited work

Reference 15

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raw_fallback, observed 2026-08-07T00:24:12.898362Z

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

source=arxiv_source observed=2026-08-07T00:24:12.493848Z digest=sha256:195e37dcbd8254d160f9057d137d3c2f07234cdcafad8d6f2ad940708f39f570

Observation 8afa8202-5f91-4892-8b3b-21c69346f475 · outbound

This paper cites Grue , author A.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Grue , author A

Reference 16

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verified fuzzy
raw_fallback, observed 2026-08-07T00:24:12.889338Z

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

source=arxiv_source observed=2026-08-07T00:24:12.502045Z digest=sha256:8056bc9af3cb969d923a88f92dc86c4be92cc8dc2dc44bc1d4b2d05a4ad5397c

Observation 3d5238f9-c247-43f8-ad1b-b7b1f66d2ea1 · outbound

This paper cites Kodaira , author T.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Kodaira , author T

Reference 17

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verified fuzzy
raw_fallback, observed 2026-08-07T00:24:12.880036Z

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

source=arxiv_source observed=2026-08-07T00:24:12.508317Z digest=sha256:b86416258c06cb95fc669861c797afdf5591ecb482e57d95fc5dae71438f3357

Observation 716720f7-ddca-4661-a0a6-a0c67c21a7ae · outbound

This paper cites Xuan , author H.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Xuan , author H

Reference 18

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verified fuzzy
raw_fallback, observed 2026-08-07T00:24:12.870931Z

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=arxiv_source observed=2026-08-07T00:24:12.523010Z digest=sha256:b67535a76722481f696d6960f413dd00f8de768476af2dff7cef4c853bab68bb

Observation b7a6fae0-8c6c-4788-bc00-1a14c310d5f4 · outbound

This paper cites Cuomo , author V.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Cuomo , author V

Reference 19

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unresolved
no resolver link, observed 2026-08-07T00:24:12.530599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.530599Z digest=sha256:4d9c099dbbfee336457272a305e319f3697616cb71ce8d10878144c2d3aa59c9

Observation 969b6c98-55c8-4e01-897d-d0119f0c2a2f · outbound

This paper cites Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

Reference 20

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no resolver link, observed 2026-08-07T00:24:12.546766Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.546766Z digest=sha256:5cefc7de1a75318c594f33d76c431ab8dd5acfe90a4f7057da2c6e36b08e9676

Observation 801ac34e-7ed2-4575-9106-882c6f12b3fc · outbound

This paper cites Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations

Reference 21

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no resolver link, observed 2026-08-07T00:24:12.555740Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.555740Z digest=sha256:97ad6179bb61039ae59c3958cf1fa57e2699bb81966e3ef19226f99867de760b

Observation ffb82692-b9cd-4527-a75e-b2672f20ff9e · outbound

This paper cites Raissi , author P.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Raissi , author P

Reference 22

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no resolver link, observed 2026-08-07T00:24:12.559587Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.559587Z digest=sha256:62a3fa85cf34769bcbf76a498af9290a3eaf33782ca7e581587ccd0575616ca5

Observation d3710be2-0d3f-48d6-a698-e6ea66aa1793 · outbound

This paper cites Solving the wave equation with physics-informed deep learning.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Solving the wave equation with physics-informed deep learning

Reference 23

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no resolver link, observed 2026-08-07T00:24:12.566651Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.566651Z digest=sha256:7195583ae4fb81c4968c73daacc9ce504132d1af79b19eac7113d721a0de5561

Observation 8a533c64-9c41-4ff3-a87a-1683049902c2 · outbound

This paper cites Cai , author Z.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Cai , author Z

Reference 24

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unresolved
no resolver link, observed 2026-08-07T00:24:12.569656Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.569656Z digest=sha256:a8d7f06d95b74e800464d06a32c6e780c381ea04eeecec4b06a47a5e6d55d2b0

Observation ee8b4fc9-eca8-4afe-af37-76223431aeb9 · outbound

This paper cites PINNs-TF2: Fast and User-Friendly Physics-Informed Neural Networks in TensorFlow V2.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation PINNs-TF2: Fast and User-Friendly Physics-Informed Neural Networks in TensorFlow V2

Reference 25

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verified exact
local_arxiv, observed 2026-08-07T00:24:12.699777Z

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=arxiv_source observed=2026-08-07T00:24:12.572401Z digest=sha256:85255a5e4153a00235d0b68b9bf9ec393a4387ef306d49137031bcbca839d8e8

Observation baf66fd1-ad08-42c2-8549-89be63fc8c4f · outbound

This paper cites Physics-informed Neural Networks for Solving Inverse Problems of Nonlinear Biot's Equations: Batch Training.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Physics-informed Neural Networks for Solving Inverse Problems of Nonlinear Biot's Equations: Batch Training

Reference 26

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metadata mismatch
local_arxiv, observed 2026-08-07T00:24:12.859103Z

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=arxiv_source observed=2026-08-07T00:24:12.576198Z digest=sha256:1a13ab8549b4ebf0dc9dfd6c24b3d4dd4ad9def84e64843f774eeb18f221e062

Observation 73964de0-7c8b-4ee6-a181-860594c6d06c · outbound

This paper cites Cai , author Z.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Cai , author Z

Reference 27

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unresolved
no resolver link, observed 2026-08-07T00:24:12.580748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.580748Z digest=sha256:2005107e6f846f4c19d5e313dc91df6875ca14086ca389997ac0db176124154c

Observation a621a936-f826-407f-81a0-ff48af3bc932 · outbound

This paper cites Jin , author M.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Jin , author M

Reference 28

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no resolver link, observed 2026-08-07T00:24:12.586057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.586057Z digest=sha256:15c2ef49464f96b2894023356fd4f1547d8aef5d8afff2665dcde75e890bbdd0

Observation d972f9aa-7dc6-4462-9141-6032d84d06ba · outbound

This paper cites Zhang , author M.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Zhang , author M

Reference 29

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unresolved
no resolver link, observed 2026-08-07T00:24:12.592619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.592619Z digest=sha256:b75e040e100efdfde68163c8481bce9bfa860efe60ff279220a2f8cc36189f97

Observation a087474e-b04a-474d-8522-a0108da52129 · outbound

This paper cites Escapil-Inchausp \'e \ and\ author G.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Escapil-Inchausp \'e \ and\ author G

Reference 30

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verified exact
doi, observed 2026-08-07T00:24:12.667324Z

Source-reported events for the cited work

correction dated 2024-05-27. Source: crossref record 10.1038/s41598-024-62284-9->10.1038/s41598-023-44541-5:correction, observed 2026-07-11T03:09:53.645894+00:00. This notice travels one citation hop only.

source=arxiv_source observed=2026-08-07T00:24:12.599215Z digest=sha256:e4ed58700cb0164646e91ba3bf4f40f707e8de0bf73e4b9e213802e18b377435

Observation 6ef644b0-0957-40e3-9b7d-74536076e096 · outbound

This paper cites Lu , author P.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Lu , author P

Reference 31

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unresolved
no resolver link, observed 2026-08-07T00:24:12.605282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.605282Z digest=sha256:e6f8075daac6ee93f3aefa43dd15ea52489285dc457a4d811ab2f4d9fb9ee7f1

Observation 606beed0-1c01-40c1-a604-f7023d220d78 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Fourier Neural Operator for Parametric Partial Differential Equations

Reference 32

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no resolver link, observed 2026-08-07T00:24:12.609637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.609637Z digest=sha256:2636f769e26adc14b01719a0a187fa82746ca9a5fdeb7b156aa3019734de85dc

Pith citing papers

No inbound Pith citation observations are available.