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New exact travelling wave solutions of Kawahara type equations

Title
New exact travelling wave solutions of Kawahara type equations
Authors
Jang, Bongsoonull
Date Issued
2008-01
Publisher
Pergamon
Abstract
The Auxiliary equation method is used to find analytic solutions for the Kawahara and modified Kawahara equations. It is well known that different types of exact solutions of the given auxiliary equation produce new types of exact travelling wave solutions to nonlinear equations. In this paper, new exact solutions of the auxiliary equation are presented. Using these solutions, many new exact travelling wave solutions for the Kawahara type equations are obtained. (C) 2007 Elsevier Ltd. All rights reserved.
Keywords
Auxiliary equations; Travelling waves; Kawahara and modified Kawahara equations; F-EXPANSION METHOD; NONLINEAR EVOLUTION-EQUATIONS; ELLIPTIC FUNCTION SOLUTIONS; GORDON EQUATIONS; TANH METHOD; PDES
URI
https://oasis.postech.ac.kr/handle/2014.oak/29192
DOI
10.1016/J.NA.2007.12.022
ISSN
0362-546X
Article Type
Article
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