Solutions with separated variables and breather structures in the \((1+1)\)-dimensional nonlinear systems
type: Item
instance of: scholarly article
title: Solutions with separated variables and breather structures in the \((1+1)\)-dimensional nonlinear systems
zbMATH Open document ID: 1187.35025
author: Chao-Qing Dai
author: Chang-Zhi Xu
author: Jianping Meng
author: Jie-Fang Zhang
author: Xian-Jing Lai
published in: Physics Letters. A
publication date: 2010-06-02T00:00:00Z
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 5715302
zbMATH Keywords: multilinear variable separation approach
zbMATH Keywords: \((1+1)\)-dimensional nonlinear systems
zbMATH Keywords: breather structures
MaRDI profile type: Publication
full work available at URL: j.physleta.2005.12.050
OpenAlex ID: W1969368684
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Q4145991
cites work: Differential-Stäckel matrices
cites work: Formal variable separation approach for nonintegrable models
cites work: Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source
cites work: New variable separation approach: application to nonlinear diffusion equations
cites work: Nonlinear interaction of traveling waves of nonintegrable equations
cites work: An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
cites work: Variable Separation Solution for (1+1)-Dimensional Nonlinear Models Related to Schrödinger Equation
cites work: On two-dimensional packets of capillary-gravity waves
cites work: Solitons in Molecular Systems
cites work: Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
cites work: Darboux transformations for a two-dimensional Zakharov-Shabat/AKNS spectral problem
cites work: Negative powers of Olver recursion operators
cites work: Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
cites work: Integrable coupled KdV systems
cites work: Painlevé Analysis of a New Coupled Dispersionless Equations
cites work: The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
cites work: An integrable shallow water equation with peaked solitons
cites work: Compactons: Solitons with finite wavelength
cites work: Solitons in a nonlinear model medium
cites work: The relation of lemniscate and a loop soliton as 3/2 and 1 spin fields along the modified Korteweg-de Vries equation
cites work: The \(N\)-soliton solution of the modified generalised Vakhnenko equation (a new nonlinear evolution equation).
cites work: Periodic and solitary-wave solutions of the Degasperis-Procesi equation
DOI: 10.1016/J.PHYSLETA.2005.12.050
description: scientific article; zbMATH DE number 5715302