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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
  • metadata mismatch1

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:af3b53118c3540e51e03a0597a5bf230abe273995e3140a776be5bac672bfce9

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

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source=arxiv_source observed=2026-08-07T00:24:11.796930Z digest=sha256:852938bff6ea572d74d9fa9fe1c59130c54ebf7b9697f49cd37a7c9d4b085a7a

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

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-07T00:24:12.028059Z digest=sha256:3dc12d008c9d309daaa6b79c3c3186bbf1f6f874d3e9e9b237a6ed6953f9e5ac

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

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.106573Z digest=sha256:23853677da210abbf6b61914521284270048a65ca9292d58cc0ee43f41c0be4d

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:b2a508c313bc4ad19a7ab12ce624d7b7e5bcaa35cb3811ed8c31c11e61ab99aa

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:a3bc12d7bf6b8880867f013f695fc66287055d952f3ae8cc8b22077acd8f640e

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.

source=arxiv_source observed=2026-08-07T00:24:12.283266Z digest=sha256:1f80323f53e5720a06cb666bb6433c3aa74d137b0e207917b62b8fa34393a780

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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raw_fallback, observed 2026-08-07T00:24:12.984498Z

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source=arxiv_source observed=2026-08-07T00:24:12.350839Z digest=sha256:b7971d164429cc8b39e87b4fbb94cdf88f0400da45e2dac29354127ae4c58b3d

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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raw_fallback, observed 2026-08-07T00:24:12.974774Z

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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=sha256:295fff4e14fefde7206593d599a1cf9c014fd287c518cf9f9f76fbc593e3d688

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

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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=2026-08-07T00:24:12.442818Z digest=sha256:09ce761e5bd727cfa3cbfdf7e8387a949f5d2b60ebce7e9b23356c90a25f81bf

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=sha256:4716672ea590cca4edf9b939f956163f9723f8f4dd0460dcfcb8dca4bab56e04

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
raw_fallback, observed 2026-08-07T00:24:12.935335Z

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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=2026-08-07T00:24:12.465126Z digest=sha256:44147e65306ae4af9e5971532019539bda2ca477e6aa69766f2eb6a1f4f3ba46

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=sha256:5ba3bda195908ff96ad89d33b8101119aace812d3f29d6903e0d75687eda56f7

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=sha256:75519c25d4532d758208d36b671fce1cfce00e35531cf237f53530e158faadf6

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:a7fd139298a9f1ac9bee05e492788bab80476f7c550eef249b2de436d8e6e397

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=sha256:10e7b355a8740dc7df965b32716fde8b895c9c963a999e18e6c6ebed4822ddd0

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
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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:bc7038f6201ac3ddb71adcc5a8f8f1628c758d7e7f0cb4b2255900173497cd4b

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:ec3e40bfb32e366d4a16f0b65cf3b4a2b68c9f1f6f6ec859884223b8380ceb0f

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:b0d5cb799eade72bac959b882702ead3a43f55303555f55258ae8548551531f0

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:b264f7b7ee35a2d6d780d41f6151c4437a3f529e8c478c234368e931e69ee091

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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unresolved
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=sha256:57892172dda698f39b3c4b4c9a73c0b167bbda09c7f29f2b9225d0214055ce0b

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:af0a5dfd17315385e2f474826455d6c6584f92c30b6449442fc9ca554832c36e

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:ffb8b3c50be2b19631d47e67dfcff69e1be80329b5b66f318846b9dd3e938f77

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.569656Z digest=sha256:ac82a3028836d37ce8146052c514bf607a87db86b8e6b3a5df252f76c88e1299

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:ea6996daf6e24139388f13685db324f315b1aa68b677081c31757ab08b8acde8

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:ab281a3575944382ce275a0b31bde6a4b1e4b86e6b9c96e33faf3c72e90d1c32

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=sha256:56bfbf8c7bafd47df8fd351e66cb6fece3fe5c47840bfe5a5e94dac7d538fa13

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=sha256:11d9bb9150fd69360b9565793889c5c2418e731115227c6fa922cdfafc43ad2f

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

Resolution
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=sha256:0f7b9b6f7cbbf1fe28824b887737b73b66d46a6c0e8ef5ad8be75a8e46881693

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=sha256:8711ed2f0738c0dfe771ecd55adf8c493a5c8a5dfdf6496f211724e2774162e9

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=sha256:70e2ccf8fad75db908757502a5a32f517493b759740f16ea2b523617b010c71f

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:e46da364e8714e81b9a885a6cfd0397cdce340745e57c35e38a44cbfce9a4aa0

Pith citing papers

No inbound Pith citation observations are available.