Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
type: Item
instance of: scholarly article
title: Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
zbMATH Open document ID: 1022.35051
DOI: 10.1016/S0960-0779(00)00133-8
author: Abdul-Majid Wazwaz
published in: Chaos, Solitons and Fractals
publication date: 2003-03-19T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 1884647
zbMATH Keywords: nonlinear dispersive waves
zbMATH Keywords: Adomian decomposition method
zbMATH Keywords: exact periodic solutions
zbMATH Keywords: polynomial solutions
MaRDI profile type: Publication
cites work: Theory of a Solid State Plasma Waveguide in a Transverse Magnetic Field
cites work: Exact envelope-soliton solutions of a nonlinear wave equation
cites work: Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
cites work: Q4293617
cites work: Q3947997
cites work: Q3889412
cites work: Q4151274
cites work: Q3925229
cites work: Soliton Interactions in Two Dimensions
cites work: Soliton Solutions of Non-linear Evolution Equations
cites work: Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
cites work: The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form
cites work: Q4947277
cites work: Q4222004
cites work: The solution of the Boussinesq equation using the method of lines
cites work: Q4220176
cites work: Analytical approximations and Padé approximants for Volterra's population model
cites work: A reliable modification of Adomian decomposition method
cites work: A new algorithm for calculating Adomian polynomials for nonlinear operators
cites work: The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation
cites work: Solving frontier problems of physics: the decomposition method
cites work: A review of the decomposition method in applied mathematics
full work available at URL: s0960-0779(00)00133-8
OpenAlex ID: W1984713469
description: scientific article; zbMATH DE number 1884647