Exact solitary wave and periodic wave solutions of a class of higher-order nonlinear wave equations
type: Item
instance of: scholarly article
title: Exact solitary wave and periodic wave solutions of a class of higher-order nonlinear wave equations
zbMATH Open document ID: 1394.35457
DOI: 10.1155/2015/548606
author: Chaudry Masood Khalique
author: Lijun Zhang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: We study the exact traveling wave solutions of a general fifth-order nonlinear wave equation and a generalized sixth-order KdV equation. We find the solvable lower-order subequations of a general related fourth-order ordinary differential equation involving only even order derivatives and polynomial functions of the dependent variable. It is shown that the exact solitary wave and periodic wave solutions of some high-order nonlinear wave equations can be obtained easily by using this algorithm. As examples, we derive some solitary wave and periodic wave solutions of the Lax equation, the Ito equation, and a general sixth-order KdV equation.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 6926629
Wikidata QID: Q59119265
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/548606
OpenAlex ID: W1730132419
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description: scientific article; zbMATH DE number 6926629