Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T02:55:46.036225Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 0 inbound Pith citation observations for arXiv:2606.30353.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T02:55:46.036225Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
70 of 70 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 20e4f2c8-1f9d-424d-94b9-928d880f2612 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation accc2289-a3e6-46ba-a9bf-759553e672a6 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice El and M.A
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55b8b9bc-fdb0-4cf1-ab70-ca04ec0c8e21 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a17dfcc-93a7-4735-83c5-699e096bedb7 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bcd63e51-161a-4b06-8bb3-66cbc9754913 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Molinari and C
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 406f2f02-2654-4bef-a14e-b8c7515588e2 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da05657a-1f28-4341-aac3-b8a89c9bf317 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Observation of ul traslow shock waves in a tunable magnetic lattice
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 718c706e-1529-4054-89d5-b7a9d32ebd69 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15074ff1-b806-40b5-8388-f9c90a3df044 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Undular bores in the (3+1) dimensional mKP equation
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4f3541c-a8e9-4ae5-a520-1430849c385d · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Bogayevskii
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39c020f2-db4c-4807-9df0-dabf6aaf4100 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Ablowitz, Gino Biondini, and Qiao Wang
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26df92fa-3315-4093-add3-8b104aa5d4e9 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Ryskamp, M
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f646861-657e-4f9d-94dc-f02e1f507da9 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Ryskamp, M
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45e6a75d-d266-49b3-a33a-1ba59d20cd92 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Ryskamp, Mark A
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6c11adc0-9000-4ac3-bc82-647f94e69ceb · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 20c29de8-20da-4087-aa58-07a6fc913f6a · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Ablowitz, Justin T
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ebc5a4f7-b0d1-4f99-9a44-0fd906b7a9ad · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Whitham m odulation theory for the defocusing nonlinear schrödinger equation in two and three spatial dimensions
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7cc98d2d-8bbf-4e41-b30b-13a230dca6a5 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Whitham modu lation theory for the Zakharov–Kuznetsov equa- tion and stability analysis of its periodic traveling wave solutions
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce600e18-cb0a-4c7d-b84d-39b28ee4af92 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Bak and Alexander A
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 92bc6d2d-d9ed-47b8-9647-443cd08781e7 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef04e65e-843e-4095-b072-1870cac04b55 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Geometric solita ry waves in a 2D mass-spring lattice
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d90baa12-b464-4abe-b1ab-b6e534d82c5e · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Solitary waves on a two-dimensiona l lattice
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2bf67f5a-3ecd-47c0-bd60-078d2b1b2332 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice On the soliton solutions of the two-dimensional T oda lattice
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0b0e602-0be2-4abc-a234-0b78a49129f7 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice KdV-like solitary wa ves in two-dimensional FPU-lattices
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e6f4b772-623d-4846-ae4b-eee83d048084 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Fermi, J
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e551e28-c332-4a93-a384-dce27d333bbd · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e73f7ca4-9c04-4c8c-8996-8ecd091864c0 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Gallavotti
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7085b715-a7f9-4bf4-840b-467788129c99 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Flach and A
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 183ed2fb-4b23-4a82-bfa1-a2b8b12a23c4 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Solitary waves in FPU-type lattices
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 031bf599-4210-4eac-a3ff-5372343401ea · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Friesecke and R
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbe9e6f8-ca13-419d-b82d-b8fa258bcef0 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Friesecke and R
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e6676c9-1cd0-4a82-be07-9cd4cbecc18b · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Friesecke and R
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 625a4e3e-53a3-422e-a590-5d136561b628 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Friesecke and R
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 162d75a5-0558-4fa0-8089-942b79f39d36 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Holian, H
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a2e3d940-ce77-43fd-a145-0359509f3bbc · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Shock wa ves and time scales to reach equipartition in the Fermi-Pasta-Ulam model
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84446057-8224-4242-b126-5ec4311a86f1 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Friesecke and J
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 62c8be3e-5813-4ec7-9e00-f91568a7e7a1 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0aa5f28-ec6d-452f-8a59-c2a31c3d671d · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2ab89800-b438-48e1-a9f6-d3af9eb854fe · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Dreyer, M
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1171bc5-470b-49e3-a13f-00c68f2d6fa9 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Kevrekidis
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a987d38-c445-4b5e-ad4b-8c5382ddccb5 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Travelling waves and periodic oscillations in Fermi-Pasta -Ulam lattices
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85d713ec-e7f4-4f79-bcb0-60be8304883f · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90bde418-dff1-47de-af27-63523dc1eae1 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Kevrekid is, and Gino Biondini
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1ce456d7-6df1-458b-8dce-68359eeac41f · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Biondini, C
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f9beca5-b4d4-476b-bee5-77824fb1d7a3 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a6459f47-8b76-4666-a3f8-56fc0526dd45 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 67355997-a986-490c-8d45-0de1dd370521 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Kevrekidis
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dae2974f-7904-40ba-aa87-567184d200c3 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Kevrekidis
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f5cc5ff-979f-4c40-9618-a2da97565433 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Discrete breathers in a two-dimensional Fermi–Pasta–Ulam lattice
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3370ac3d-8e3f-4887-87de-e28c97d88063 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Smets and M
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aea97959-241e-4abb-a9ce-ef6277a20327 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Solitary wave s for nonconvex FPU lattices
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 69a88477-3cff-4089-886f-524de7d3974d · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice English and Robert L
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7da9d9bf-6fe6-470b-804e-591a08745cd9 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Herrmann
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd3d6d90-b9d9-4e8f-bd28-e64ed2385f06 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Solitary waves in atomic chains and peridynamical media
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b4b54e02-97c0-4d7a-b519-afe4d38586a6 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Hochstrasser, F .G
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4a81d8e-f20d-47a9-b340-77b2c96ca5c8 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Adams and John J
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36d95efa-3442-423f-b580-1f3535856473 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Lieb and Michael Loss
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6bdf5092-a631-4d1e-b204-c3f017f8deda · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice An inequality for the convolutions on u nimodular locally compact groups and the optimal constant of Young’ s inequality
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f25074f6-cb6d-4ef7-b750-41e389c5faa4 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Beyond the entropy powe r inequality, via rearrangements
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc8b6869-6852-41ea-9902-2fe9cfc9530e · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Cases of equality in the Riesz rearrangement inequality
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d0e9ebf-bff3-4da1-873f-60ce2b4a3c41 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Yasuda, C
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 199abdd0-cc19-4b25-9328-2906f2bca352 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d12b4b26-61ea-44dc-adb6-0e9eef60a8a9 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Solitary wave propagation in a two-di mensional lattice
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13d56204-bc07-4369-8f58-4690624a898b · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Olver, D.W
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 828e1bc7-f71e-4d66-af3e-0a55bc068423 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4843240e-3fa4-4f12-b7b2-c79ba2141cc5 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Nonlinear Periodic Waves and Their Modulations
Reference 66
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cbb08208-a0bc-491b-9f1c-6825f2e3b50d · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Kevrekidis
Reference 67
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c8af410-d7d6-4b68-8946-d32cb92f3039 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Unresolved cited work
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 885c7f7f-3018-4f29-a409-d49a754a5428 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice First-order continuum models for nonlinear dispersive waves in the granular crystal lattice
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fe4e4056-2f1c-4b54-8beb-66bdb0773e16 · outbound
Traveling and Dispersive Shock Waves in a Two-Dimensional Fermi-Pasta-Ulam-Tsingou Lattice Biondini, A
Reference 70
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.