Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T23:10:24.119619Z
Paper Citation Record · LEDGER
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude
As of 13 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2501.00121.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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
Reference resolution
36 of 36 outbound references displayed
- verified exact0
- verified fuzzy33
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 89a54a87-b5a9-4ddf-9e5b-3c4dd39855a1 · outbound
This paper cites Inverse scattering transform for the integrable discrete nonlinear Schr¨ odinger equation with non-vanishing boundary conditions.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Inverse scattering transform for the integrable discrete nonlinear Schr¨ odinger equation with non-vanishing boundary conditions
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.670872Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7663cc94-cbe3-47be-8a81-7ded791eb5d0 · outbound
This paper cites Nonlinear differential-difference equations.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Nonlinear differential-difference equations
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.657280Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c3f194df-b75f-4e48-88f5-28cd949bce13 · outbound
This paper cites Nonlinear differential-difference equations and Fourier analysis.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Nonlinear differential-difference equations and Fourier analysis
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.643801Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b289be8a-d2ca-421c-bbf1-8d55af72393b · outbound
This paper cites an unresolved cited work.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T23:10:24.629642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 29b96245-b451-4963-9e3c-f417195ced37 · outbound
This paper cites Rogue waves and rational solutions of the nonlinear Schr¨ odinger equation.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Rogue waves and rational solutions of the nonlinear Schr¨ odinger equation
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.615062Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 22290d99-669a-4e52-aa9a-ad81f45c0c95 · outbound
This paper cites Waves that appear from nowhere and disappear without a trace.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Waves that appear from nowhere and disappear without a trace
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.600482Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 85220c6d-6033-47ea-b303-9e98912ecbec · outbound
This paper cites Generation of a periodic sequence of picosecond pulses in an optical fiber. Exact solutions.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Generation of a periodic sequence of picosecond pulses in an optical fiber. Exact solutions
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.586035Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3331cb85-f457-40b7-8ccb-70d8af21a0e4 · outbound
This paper cites Modulational instability and periodic solutions of the nonlinear Schr¨ odinger equation.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Modulational instability and periodic solutions of the nonlinear Schr¨ odinger equation
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.572660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 654e7e74-3eb6-4313-ab5c-310287bb721e · outbound
This paper cites Discrete rogue waves of the Ablowitz-Ladik and Hirota equations.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Discrete rogue waves of the Ablowitz-Ladik and Hirota equations
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.558554Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e279a267-ff70-4a90-80d0-7be786f4877d · outbound
This paper cites Rogue waves and other solutions of single and coupled Ablowitz-Ladik and nonlinear Schr¨ odinger equations.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Rogue waves and other solutions of single and coupled Ablowitz-Ladik and nonlinear Schr¨ odinger equations
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.544296Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a5e8a4aa-2678-4da4-b477-9ebd8e94eb3f · outbound
This paper cites an unresolved cited work.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T23:10:24.530215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3d3b765a-d829-49a9-97c8-1b37e4953aa0 · outbound
This paper cites Existence, stability and spatio-temporal dynamics of time-quasiperiodic solutions on a finite back- ground in discrete nonlinear Schr¨ odinger models.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Existence, stability and spatio-temporal dynamics of time-quasiperiodic solutions on a finite back- ground in discrete nonlinear Schr¨ odinger models
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.515988Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 99d119ac-cd88-4e46-8d47-0920bfb40d23 · outbound
This paper cites Rogue waves arising on the standing periodic waves in the Ablowitz- Ladik equation.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Rogue waves arising on the standing periodic waves in the Ablowitz- Ladik equation
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.501281Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fa59cb7a-5562-4a34-9a7b-3baedfd0e290 · outbound
This paper cites Some features of the repulsive discrete nonlinear Schr¨ odinger equation.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Some features of the repulsive discrete nonlinear Schr¨ odinger equation
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.486785Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 68c5d448-61dd-4692-906d-be4e8e6d215b · outbound
This paper cites Modulation instability, periodic anomalous wave recurrence, and blow up in the Ablowitz–Ladik lattices.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Modulation instability, periodic anomalous wave recurrence, and blow up in the Ablowitz–Ladik lattices
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.473400Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9cd6a9e6-7cbb-4d2b-b405-266be11e87de · outbound
This paper cites Floquet analysis of Kuznetsov-Ma breathers: A path towards spectral stability of rogue waves.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Floquet analysis of Kuznetsov-Ma breathers: A path towards spectral stability of rogue waves
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.459695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 78da121c-5814-4922-9059-00f2efcb7dca · outbound
This paper cites Integrable dynamics of a discrete curve and the Ablowitz-Ladik hier- archy.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Integrable dynamics of a discrete curve and the Ablowitz-Ladik hier- archy
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.445036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e6ec3eec-1fc9-4a56-9eae-62a57800a30d · outbound
This paper cites Darboux transformation of the discrete Ablowitz-Ladik eigenvalue problem.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Darboux transformation of the discrete Ablowitz-Ladik eigenvalue problem
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.424161Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 07f5385e-229e-463b-80cc-f8e6fc201622 · outbound
This paper cites Solving Ordinary Differential Equations I: Nonstiff Prob- lems.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Solving Ordinary Differential Equations I: Nonstiff Prob- lems
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.409617Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 29937ac9-c0fd-4d56-92ca-1274cbf9e372 · outbound
This paper cites An integrable classical spin chain.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude An integrable classical spin chain
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.395426Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 50a21135-a800-4faf-af3a-4b9e2ee69c75 · outbound
This paper cites Temperature correlations of quantum spins.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Temperature correlations of quantum spins
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.381421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a12425a0-0927-4562-babd-0175104809f3 · outbound
This paper cites an unresolved cited work.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T23:10:24.366889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3105f5df-e5e1-4e78-bc6b-9462de84bdff · outbound
This paper cites Solitons in a parametrically unstable plasma.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Solitons in a parametrically unstable plasma
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.352634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1bb33c6b-93ec-4dec-81f8-8513261541a7 · outbound
This paper cites Two soluble models of an antiferromagnetic chain.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Two soluble models of an antiferromagnetic chain
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.338278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7e48fc88-6367-41a5-9436-2782271d9e3b · outbound
This paper cites On the Ablowitz–Ladik equations with self-consistent sources.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude On the Ablowitz–Ladik equations with self-consistent sources
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.323657Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6b69f10e-d9da-458f-a364-5e41dc893bf3 · outbound
This paper cites The perturbed plane-wave solutions of the cubic Schr¨ odinger equation.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude The perturbed plane-wave solutions of the cubic Schr¨ odinger equation
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.309130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 52748dab-26fc-488e-b7ea-541b726683f0 · outbound
This paper cites Observation of nonlinear localized modes in an electrical lattice.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Observation of nonlinear localized modes in an electrical lattice
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.293325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3589c78f-1aea-472c-98e5-fcae31b307fe · outbound
This paper cites General rogues waves in the focusing and defocusing Ablowitz-Ladik equa- tions.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude General rogues waves in the focusing and defocusing Ablowitz-Ladik equa- tions
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.277586Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a6fbf6be-f10d-4c4d-a393-0317fd4bc8c3 · outbound
This paper cites Inverse scattering transform for the defocusing Ablowitz-Ladik equation with arbitrarily large background.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Inverse scattering transform for the defocusing Ablowitz-Ladik equation with arbitrarily large background
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.262526Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2a082166-c13b-4469-991d-9a8b8cee10ba · outbound
This paper cites Water waves, nonlinear Schr¨ odinger equations and their solutions.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Water waves, nonlinear Schr¨ odinger equations and their solutions
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.247411Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3f8a2b30-3271-45b9-a90f-f4d52058156f · outbound
This paper cites Discrete solitons of the Ablowitz-Ladik equation with nonzero boundary conditions via inverse scattering.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Discrete solitons of the Ablowitz-Ladik equation with nonzero boundary conditions via inverse scattering
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.232109Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c6ebcc95-1b07-4e56-adf6-a1a9769170a4 · outbound
This paper cites Inverse scattering transform for the focusing Ablowitz-Ladik system with nonzero boundary conditions.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Inverse scattering transform for the focusing Ablowitz-Ladik system with nonzero boundary conditions
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.216731Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b8aac137-837e-4649-8cb6-29415440d5b0 · outbound
This paper cites Kuznetsov–Ma breather-like solutions in the Salerno model.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Kuznetsov–Ma breather-like solutions in the Salerno model
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.202532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5f663540-25b6-4620-bb65-e3f26fb587a4 · outbound
This paper cites Breather solutions to the focusing nonlinear Schr¨ odinger equation.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Breather solutions to the focusing nonlinear Schr¨ odinger equation
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.186255Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3fe156e6-63a0-4ab4-b02b-3171e903a409 · outbound
This paper cites A propagating self-localized mode in a one-dimensional lattice with quartic anharmonicity.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude A propagating self-localized mode in a one-dimensional lattice with quartic anharmonicity
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.170936Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5856d75d-f7dc-4b32-8a3b-0878a9e40b78 · outbound
This paper cites Discrete nonlinear Schr¨ odinger equation under non-vanishing boundary conditions.
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude Discrete nonlinear Schr¨ odinger equation under non-vanishing boundary conditions
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:10:24.155866Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
No inbound Pith citation observations are available.