Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T14:13:39.945138Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2501.15625.
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 2026-08-10T14:13:39.945138Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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
52 of 52 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 44ba3203-3a70-4186-85b3-b5894415e294 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Integrable hydrodynamics of Calogero–Sutherland model: bidirectional Benjamin–Ono equation
Reference 1
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.
Observation 1306ae9d-616d-4092-a5f0-a08a929d9472 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Spectrally accurate fully discrete schemes for some non- local and nonlinear integrable PDEs via explicit formulas
Reference 2
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.
Observation 5fee9a06-8521-447c-97a0-991d1031e466 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation On the global well-posedness of the Calogero-Sutherland derivative nonlinear Schr¨ odinger equation
Reference 3
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.
Observation fcf152d9-6881-45a3-b86d-aec1d48d640f · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Traveling waves & finite gap potentials for the Calogero-Sutherland Derivative nonlinear Schr\"odinger equation
Reference 4
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.
Observation 7aee3886-d87c-4d38-b392-f0829f5f79e9 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Zero dispersive limit of the Calogero–Moser derivative NLS equation
Reference 5
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.
Observation 8b412839-c3ab-48d6-b6fb-66fa59b001cd · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Spin generalizations of the Benjamin–Ono equation
Reference 6
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.
Observation 277594c1-a8eb-4e51-9218-2562ee8dc636 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation A focusing–defocusing intermediate nonlinear Schr¨ odinger system
Reference 7
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.
Observation b2e975b5-9092-4bba-a817-959ca8e76ab0 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Partial degeneration of finite gap solutions to the Korteweg–de Vries equation: soliton gas and scattering on elliptic background
Reference 8
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.
Observation 36ffb5f4-9480-476e-bb6f-e15557a1c875 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Long-time asymptotics for the focusing nonlinear Schr¨ odinger equa- tion with nonzero boundary conditions at infinity and asymptotic stage of modulational instability
Reference 9
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.
Observation 1b36a438-20ea-430c-ba25-4217160a3da3 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Long-time asymptotics for the focusing nonlinear Schr¨ odinger equation with nonzero boundary conditions in the presence of a discrete spectrum
Reference 10
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.
Observation 02964177-e40e-4ae1-b64f-adf4759b689b · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Rogue waves on the background of periodic standing waves in the derivative nonlinear Schr¨ odinger equation
Reference 11
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.
Observation 3f6ab391-5d65-4553-ad2e-f9e0c877e92d · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Periodic waves in the discrete MKDV equation: modulational instability and rogue waves
Reference 12
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.
Observation 4b246e41-61f2-4be4-ba06-e37afd58911b · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Rogue waves arising on the standing periodic waves in the Ablowitz- Ladik equation
Reference 13
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.
Observation c8f91d9f-5b74-4ee2-a3a4-0de512f2b1d0 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Bright and dark breathers of the Benjamin-Ono equation on the traveling periodic background
Reference 14
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.
Observation 59d4e606-5370-4ba1-8eb4-0481ae1c7c74 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Modulational instability of periodic standing waves in the derivative NLS equation
Reference 15
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.
Observation b6ae2f70-a80c-45d0-9f38-0835e9bfbd12 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Periodic standing waves in the focusing nonlinear Schr¨ odinger equation: Rogue waves and modulation instability
Reference 16
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.
Observation 38dd8f74-fad3-45f4-9862-a918c404af04 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation The physics of the one-dimensional nonlinear Schr¨ odinger equation in fiber optics: Rogue waves, modulation instability and self-focusing phenomena
Reference 17
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.
Observation d25db2d3-1aa5-4886-9c67-f1f5d53ad8f9 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Multiphase solutions of the Benjamin–Ono equation and their averaging
Reference 18
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.
Observation a8a2ad90-7d7d-4acb-8d45-e6c634e77285 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Rogue waves and analogies in optics and oceanography
Reference 19
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.
Observation c8d01fa4-c927-4340-84e0-6d9f35de9ad2 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Dispersive shock waves and modulation theory
Reference 20
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.
Observation b586d124-b8bf-422d-9591-183ab966d7c0 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Dispersive and diffusive-dispersive shock waves for nonconvex conservation laws
Reference 21
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.
Observation 2fbc734d-de4c-48d2-b8e1-563197f36178 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Multi-breathers and high order rogue waves for the nonlinear Schr¨ odinger equation on the elliptic function background
Reference 22
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.
Observation 920c2c0f-d4c5-4977-870b-53160d357c2c · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Fibich, The Nonlinear Schr¨ odinger Equation: Singular Solutions and Optical Collapse(New York: Springer, 2015)
Reference 23
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.
Observation f0da14ee-290b-45da-9c7f-5c676c002696 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation On the integrability of the Benjamin–Ono equation on the torus
Reference 24
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.
Observation 56fcafa7-b469-46a3-8d8e-9f25a708ce24 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation On the spectrum of the Lax operator of the Benjamin–Ono equation on the torus
Reference 25
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.
Observation 753b0c1f-0a53-4a45-b3bc-b3aa0c535e82 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation On the Benjamin–Ono equation on T and its periodic and quasiperiodic solutions
Reference 26
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.
Observation 66b42892-b14f-45e9-9ae7-96589aad7476 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation The Calogero–Sutherland derivative nonlinear Schr¨ odinger equation
Reference 27
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.
Observation 8bfbebe1-07e3-4e29-b089-6067b7bedac3 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Rigorous asymptotics of a KdV soliton gas
Reference 28
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.
Observation 2d1af862-5992-4818-90c9-6fc1b2e40fef · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1310f6e4-d43b-4dc9-989c-e9e3172f0913 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation KdV breathers on cnoidal wave background
Reference 30
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.
Observation 48ee2ff9-655b-456a-a484-f7402039fc84 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Turbulent threshold for continuum Calogero–Moser models
Reference 31
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.
Observation 3fb436b7-a81b-44dd-83c3-422e50de9da0 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Unresolved cited work
Reference 32
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.
Observation b5a17ed4-95f3-465f-81a3-a678a88f7c9b · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Scaling-critical well-posedness for continuum Calogero-Moser models
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1533ef54-0eb0-4171-8b3d-a810aa335a67 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Construction of smooth chiral finite-time blow-up solutions to Calogero--Moser derivative nonlinear Schr\"odinger equation
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ac68288-e2dd-4243-97c5-177a59732b45 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Soliton resolution for Calogero–Moser derivative nonlinear Schr¨ odinger equation
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3466f597-7019-4dea-a611-d0c4206880d8 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Multi-elliptic-dark soliton solutions in the defocusing nonlinear Schr¨ odinger equa- tion
Reference 36
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.
Observation 6f7e1cfe-bb51-417a-992e-faebce8f9732 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Multiperiodic and multisoliton solutions of a nonlocal nonlinear Schr¨ odinger equation for envelope waves
Reference 37
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.
Observation 0d41f089-84e2-40ad-8e6e-e4b8a9567dca · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Linear stability of multiple dark solitary wave solutions of a nonlocal nonlinear Schr¨ odinger equation for envelope waves
Reference 38
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.
Observation a9836b1c-c501-4790-a2d3-618a6bb07118 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Asymptotic solutions of the nonlocal nonlinear Schr¨ odinger equation in the limit of small dispersion
Reference 39
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.
Observation 6b74e4e8-52cd-4e0c-b206-5422f611a460 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation New representations of multiperiodic and multisoliton solutions for a class of nonlocal soliton equations
Reference 40
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.
Observation 50641b1b-db6d-460d-aebe-b634695b1d62 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Multiphase solutions and their reductions for a nonlocal nonlinear Schr¨ odinger equation with focusing nonlinearity
Reference 41
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.
Observation 698ef71a-dd99-4ae8-a83c-561fe8cb7b0f · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Local well–posedness for the nonlocal nonlinear Schr¨ odinger equation below the energy space
Reference 42
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.
Observation 53dabcb1-445b-4710-9ec3-66aa741c84cc · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Dark breathers on the snoidal wave background in the defocusing mKdV equation
Reference 43
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.
Observation a3bc1140-eec0-4db1-a37f-cf4076d4308c · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Intermediate nonlinear Schro¨ odinger equation for internal waves in a fluid of finite depth
Reference 44
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.
Observation aac1205c-4a61-497f-8d7e-65d871c2cc60 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation A spectral transform for the intermediate nonlinear Shr¨ odinger equation
Reference 45
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.
Observation 92587aa0-33a5-4a4d-b412-4af68c074ba7 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Nonlocal models for envelope waves in a stratified fluid
Reference 46
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.
Observation 99df77a8-2844-40f6-a47f-89a6af650554 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation The dark soliton on a cnoidal wave background
Reference 47
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.
Observation 628f365c-f110-49f6-93ca-79eb6f8e1c98 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Rogue waves in the sea: observations, physics and mathematics
Reference 48
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.
Observation c9c2e5c0-6018-4a24-a6dd-aefe5214b6e0 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation The intertwined derivative Schr¨ odinger system of Calogero–Moser–Sutherland type
Reference 49
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.
Observation 6f04b552-5f93-44ba-ace1-976f82fdc5a2 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Unresolved cited work
Reference 50
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.
Observation 1e1d9a66-4c1f-492d-9f2d-88a24f7a7843 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Quantized blow-up dynamics for Calogero--Moser derivative nonlinear Schr\"odinger equation
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06a7ec40-e350-4f68-bf8f-0b843a1c8203 · outbound
Traveling periodic waves and breathers in the nonlocal derivative NLS equation Freezing limits for Calogero–Moser–Sutherland particle models
Reference 52
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.
No inbound Pith citation observations are available.