Cover Image

Swinging Waves in the Ablowitz-Ladik Equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Barashenkov, I. V., Smuts, Frank S.
Format:	Preprint
Published:	2026
Subjects:	Pattern Formation and Solitons Mathematical Physics Exactly Solvable and Integrable Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Riemann--Hilbert method to the Ablowitz--Ladik equation: higher-order case
by: Liu, Huan, et al.
Published: (2024)

One-Parameter Family of Elliptic Sine-Gordon Equations
by: Khare, Avinash, et al.
Published: (2026)

Coherent structure of Alice-Bob modified Korteweg de-Vries Equation
by: Li, Congcong, et al.
Published: (2017)

Linear Superposition of Quadratic Functions in a Fifth Order KdV-Type Equation
by: Khare, Avinash, et al.
Published: (2025)

Connection Between the Exact Moving Solutions of the Negative Korteweg-de Vries (nKdV) Equation and the Negative Modified Korteweg-de Vries (nmKdV) Equation and the Static Solutions of 1+1 Dimensional $ϕ^4$ Field Theory
by: Khare, Avinash, et al.
Published: (2025)

Hamiltonian aspects of the kinetic equation for soliton gas
by: Vergallo, Pierandrea, et al.
Published: (2024)

A Search Method for Hirota Bilinear Systems of Nonlinear Evolution Equations
by: Albazlamit, I., et al.
Published: (2025)

Beating solitons with nonzero relative wavenumber, their interaction, and coexistence with Akhmediev breathers
by: Che, Wen-Juan, et al.
Published: (2025)

On the coupled Maxwell-Bloch system of equations with non-decaying fields at infinity
by: Li, Sitai, et al.
Published: (2024)

Prohibitions caused by nonlocality for Alice-Bob Boussinesq-KdV type systems
by: Lou, S. Y.
Published: (2018)

Breather-to-soliton transitions and nonlinear wave interactions for the higher-order generalized Gerdjikov-Ivanov equation
by: Wang, Yanan, et al.
Published: (2025)

Multi-place nonlocal systems
by: Lou, S. Y.
Published: (2019)

Exact solitary wave solutions for a coupled gKdV-Schrodinger system by a new ODE reduction method
by: Anco, Stephen C., et al.
Published: (2024)

Varied Branches of Nondegenerate Vector Solitons
by: Wang, Yu-Hao, et al.
Published: (2025)

Breather interactions in the integrable discrete Manakov system and trigonometric Yang-Baxter maps
by: Caudrelier, Vincent, et al.
Published: (2025)

Peakons and pseudo-peakons of higher order b-family equations
by: Zhu, Si-Yu, et al.
Published: (2025)

Integrable discretization of the vector/matrix nonlinear Schrödinger equation and the associated Yang-Baxter map
by: Tsuchida, Takayuki
Published: (2015)

Ren-integrable and ren-symmetric integrable systems
by: Lou, S. Y.
Published: (2023)

Residual Symmetry Reductions and Painlevé Solitons
by: Li, Yan, et al.
Published: (2025)

Regularizations for shock and rarefaction waves in the perturbed solitons of the KP equation
by: Han, Guangfu, et al.
Published: (2025)

Soliton Synchronization with Randomness: Rogue Waves and Universality
by: Girotti, Manuela, et al.
Published: (2025)

Solitons in the Korteweg-de Vries Equation
by: Bueno, G., et al.
Published: (2025)

The Complex Toda Chains and the Simple Lie Algebras - Solutions and Large Time Asymptotics
by: Gerdjikov, V. S., et al.
Published: (1997)

Soliton Dynamics of a Gauged Fokas-Lenells Equation Under Varying Effects of Dispersion and Nonlinearity
by: Dutta, Riki, et al.
Published: (2024)

Baseband Modulational Instability and Manifestation of Breather and Super Rogue Wave Phenomena in Modified Noguchi Electrical Transmission Line
by: Sinthuja, N., et al.
Published: (2025)

Two component integrable systems modelling shallow water waves: the constant vorticity case
by: Ivanov, Rossen I.
Published: (2009)

Quasiclassical integrability condition in AKNS scheme
by: Kamchatnov, A. M., et al.
Published: (2023)

Piecewise integrability of the discrete Hasimoto map for analytic prediction and design of helical peptides
by: Wang, Yiquan
Published: (2026)

Breather gas and shielding for the focusing nonlinear Schrödinger equation with nonzero backgrounds
by: Weng, Weifang, et al.
Published: (2025)

Rogue-wave and lump patterns associated with the third Painlevé equation
by: yang, Bo, et al.
Published: (2026)

PT-symmetric branched optical lattices: Spectral properties and stability of solitons
by: Tojakhmadova, O. K., et al.
Published: (2026)

Experimental observation of ballistic correlations in integrable turbulence
by: Charnay, Elias, et al.
Published: (2026)

Soliton gas resolution and statistics of random wave fields in semiclassical integrable turbulence
by: Congy, T., et al.
Published: (2026)

Boussinesq-Klein-Gordon and Ostrovsky equations: evolution of cnoidal waves with local defects
by: Nirunwiroj, Korsarun, et al.
Published: (2026)

Small-time asymptotics and the emergence of complex singularities for the KdV equation
by: McCue, Scott W., et al.
Published: (2025)

Statistics of extreme events in integrable turbulence
by: Congy, T., et al.
Published: (2023)

Concentric-ring patterns of higher-order lumps in the Kadomtsev--Petviashvili I equation
by: Yang, Bo, et al.
Published: (2024)

Variational Pattern Selection
by: Mineev-Weinstein, Mark, et al.
Published: (2024)

Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation
by: Congy, T., et al.
Published: (2022)

Two-dimensional reductions of the Whitham modulation system for the Kadomtsev-Petviashvili equation
by: Biondini, Gino, et al.
Published: (2023)