Multiple-soliton solutions of the perturbed KdV equation
type: Item
instance of: scholarly article
title: Multiple-soliton solutions of the perturbed KdV equation
zbMATH Open document ID: 1222.65134
author: Abdul-Majid Wazwaz
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-10-13T00:00:00Z
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 5958088
zbMATH Keywords: Hirota bilinear method
zbMATH Keywords: perturbed KdV equation
zbMATH Keywords: multiple-soliton solutions
describes a project that uses: SYMMGRP
MaRDI profile type: Publication
full work available at URL: j.cnsns.2009.12.018
OpenAlex ID: W2090221782
cites work: From single- to multiple-soliton solutions of the perturbed KdV equation
cites work: A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
cites work: Q4828547
cites work: Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
cites work: Bilinear transformation method
cites work: Solitary wave solution for the generalized KdV equation with time-dependent damping and dispersion
cites work: 1-soliton solution of (1+2)-dimensional nonlinear Schrödinger's equation in dual-power law media
cites work: Symbolic methods to construct exact solutions of nonlinear partial differential equations
cites work: A comparison between Cole-Hopf transformation and the decomposition method for solving Burgers' equations
cites work: The one-dimensional heat equation subject to a boundary integral specification
cites work: A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
cites work: Partial differential equations and solitary waves theory
cites work: Q5693987
cites work: The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
cites work: New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations
cites work: Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
cites work: The tanh-coth and the sech methods for exact solutions of the Jaulent-Miodek equation
cites work: Multiple-front solutions for the Burgers equation and the coupled Burgers equations
DOI: 10.1016/J.CNSNS.2009.12.018
description: scientific article; zbMATH DE number 5958088