Open AccessNew solitary wave solutions for nonlinear wave equation with fifth-order stronger nonlinear term
Author(s) -
Naranmandula,
Wunenboyn,
Kexie Wang
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.11
Subject(s) - nonlinear system , transformation (genetics) , term (time) , function (biology) , mathematical analysis , order (exchange) , wave equation , physics , mathematics , quantum mechanics , biochemistry , chemistry , finance , evolutionary biology , biology , economics , gene
A new function-transformation method is proposed and four kinds of explicit exact solitary wave solutions of the Lienard equation, the generalized PC equation, the important nonlinear wave equation in mechanics, which have a fifth-order stronger nonlinear term, are obtained by a combination of the function-transformation method and the direct integral method. The method proposed in this paper can also be applied to other nonlinear equations with higher-order nonlinear terms.