Solitonic solutions for homogeneous KdV systems by homotopy analysis method
type: Item
instance of: scholarly article
title: Solitonic solutions for homogeneous KdV systems by homotopy analysis method
zbMATH Open document ID: 1251.65143
DOI: 10.1155/2012/569098
author: Xianqiang Yang
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We study two-component evolutionary systems of a homogeneous KdV equations of second and third order. The homotopy analysis method (HAM) is used for analytical treatment of these systems. The auxiliary parameter \(h\) of HAM is freely chosen from the stability region of the \(h\)-curve obtained for each proposed system.
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 6106251
zbMATH Keywords: two-component evolutionary systems
zbMATH Keywords: homogeneous KdV equations
Wikidata QID: Q58906149
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/569098
OpenAlex ID: W2067797853
cites work: Numerical solution of the generalized Zakharov equation by homotopy analysis method
cites work: Analytic approximate solutions to Burgers, Fisher, Huxley equations and two combined forms of these equations
cites work: Beyond Perturbation
cites work: Q3138769
cites work: Notes on the homotopy analysis method: some definitions and theorems
cites work: A new application of the homotopy analysis method: solving the Sturm-Liouville problems
cites work: The homotopy analysis method and the Liénard equation
cites work: Effects of thermocapillarity and thermal radiation on flow and heat transfer in a thin liquid film on an unsteady stretching sheet
cites work: Applications of the extended tanh method for coupled nonlinear evolution equations
cites work: Q2943328
cites work: The extended tanh method for solving systems of nonlinear wave equations
cites work: New explicit solutions for homogeneous KdV equations of third order by trigonometric and hyperbolic function methods
cites work: Homotopy analysis and homotopy Padé methods for \((2+1)\)-dimensional Boiti-Leon-Pempinelli system
cites work: A reliable treatment of homotopy perturbation method for solving the nonlinear Klein-Gordon equation of arbitrary (fractional) orders
cites work: Q4585466
cites work: Homotopy perturbation technique
cites work: A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
cites work: Homotopy perturbation method: a new nonlinear analytical technique
Recommended article: Soliton solutions for the Korteweg-de Vries equation by homotopy analysis method
Recommended article: Q3054938
Recommended article: Q3643480
Recommended article: Q2931221
Recommended article: Q3537117
Recommended article: Q3133721
Recommended article: Soliton solutions of the two-dimensional KdV-Burgers equation by homotopy perturbation method
Recommended article: Solitary wave solutions to the Kuramoto-Sivashinsky equation by means of the homotopy analysis method
Recommended article: Q3099357
Recommended article: Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
description: scientific article; zbMATH DE number 6106251