New exact solutions to KdV equations with variable coefficients or forcing
type: Item
instance of: scholarly article
title: New exact solutions to KdV equations with variable coefficients or forcing
zbMATH Open document ID: 1061.35109
DOI: 10.1007/BF02437295
author: Zuntao Fu
author: Shi-Da Liu
author: Shi-Kuo Liu
author: Qiang Zhao
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2005-01-03T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K20
Mathematics Subject Classification ID: 35C05
zbMATH DE Number: 2124313
zbMATH Keywords: Jacobi elliptic function
zbMATH Keywords: periodic solutions
zbMATH Keywords: soliton-like solutions
MaRDI profile type: Publication
cites work: Slowly varying solitary waves. I. Korteweg-de Vries equation
cites work: Symmetries, conservation laws and Hamiltonian structures of the non-isospectral and variable coefficient KdV and MKdV equations
cites work: Symmetries and a hierarchy of the general modified KdV equation
cites work: Solitary wave solutions for variant Boussinesq equations
cites work: Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
cites work: Exact solutions of nonlinear equations
cites work: Exact solutions of nonlinear PDE, nonlinear transformation and reduction of nonlinear PDE to a quadrature
cites work: Travelling solitary wave solutions to a compound KdV-Burgers equation.
cites work: Extended tanh-function method and its applications to nonlinear equations
cites work: Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
cites work: A simple transformation for nonlinear waves.
cites work: Periodical solution to the nonlinear dissipative equation for surface waves in a convecting liquid layer
cites work: Exact periodic solutions of the complex Ginzburg–Landau equation
cites work: Some general periodic solutions to coupled nonlinear Schrödinger equations.
cites work: Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
cites work: Auto-Bäcklund transformation, Lax pairs, and Painlevé property of a variable coefficient Korteweg–de Vries equation. I
cites work: Auto-Bäcklund transformation and analytic solutions for general variable-coefficient KdV equation
cites work: A new Bäcklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients
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description: scientific article; zbMATH DE number 2124313