Soliton excitations and periodic waves without dispersion relation in shallow water system.
type: Item
instance of: scholarly article
title: Soliton excitations and periodic waves without dispersion relation in shallow water system.
zbMATH Open document ID: 1033.76006
DOI: 10.1016/S0960-0779(02)00148-0
published in: Chaos, Solitons and Fractals
publication date: 2004-01-14T00:00:00Z
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 2027074
zbMATH Keywords: truncation
zbMATH Keywords: dispersive long wave equation
zbMATH Keywords: extended Painlevé expansion
author: Chun-Li Chen
author: Sen-Yue Lou
MaRDI profile type: Publication
cites work: Q4380784
cites work: Approximate equations for long water waves
cites work: A higher-order water-wave equation and the method for solving it.
cites work: Nonlinear evolution equations associated with energy-dependent Schrödinger potentials
cites work: Mathematics of dispersive water waves
cites work: Darboux transformations of classical Boussinesq system and its multi-soliton solutions
cites work: Factorization of the 'classical Boussinesq' system
cites work: The two-singular manifold method: II. Classical Boussinesq system
cites work: The singular manifold method revisited
cites work: The Painlevé property for partial differential equations
cites work: A new truncation in Painleve analysis
Recommended article: Q4466675
Recommended article: Q5695676
Recommended article: Solitary waves in nonlinear dispersive systems
Recommended article: Solitary wave dynamics in shallow water over periodic topography
Recommended article: Q3373288
Recommended article: Interactions and stability of solitary waves in shallow water.
Recommended article: Solitons in Two-Dimensional Shallow Water
Recommended article: Soliton-like solutions for a \((2+1)\)-dimensional generalization of the shallow water wave equations.
Recommended article: Solitary waves with Galilean invariance in dispersive shallow-water flows.
Recommended article: Dynamics of Strongly Nonlinear Internal Solitary Waves in Shallow Water
description: scientific article; zbMATH DE number 2027074