Exact and numerical soliton solutions of some nonlinear physical models
type: Item
instance of: scholarly article
title: Exact and numerical soliton solutions of some nonlinear physical models
zbMATH Open document ID: 1288.76061
DOI: 10.1016/S0096-3003(03)00576-9
author: Doğan Kaya
published in: Applied Mathematics and Computation
publication date: 2004-08-06T00:00:00Z
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 2081890
zbMATH Keywords: Adomian decomposition method
zbMATH Keywords: water wave equation
zbMATH Keywords: solitary wave solution
zbMATH Keywords: self-cancelling noise terms
describes a project that uses: ATFM
MaRDI profile type: Publication
cites work: Solving frontier problems of physics: the decomposition method
cites work: A review of the decomposition method in applied mathematics
cites work: Q4151274
cites work: Q3994822
cites work: An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
cites work: Exact soliton solutions of some nonlinear physical models
cites work: Q3706666
cites work: A reliable modification of Adomian decomposition method
cites work: Noise terms in decomposition solution series
cites work: Necessary conditions for the appearance of noise terms in decomposition solution series
cites work: Convergence of Adomian's Method
cites work: Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
cites work: Decomposition methods: A new proof of convergence
cites work: Q3153562
cites work: On the solution of a korteweg-de vries like equation by the decomposition method
cites work: An application of the decomposition method for second order wave equations
cites work: Q4949717
cites work: Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
cites work: Explicit solutions of generalized nonlinear Boussinesq equations
cites work: An application for a generalized KdV equation by the decomposition method
cites work: A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
cites work: An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
full work available at URL: s0096-3003(03)00576-9
OpenAlex ID: W2016963406
description: scientific article; zbMATH DE number 2081890