Open AccessNEW EXPLICIT AND TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS
Author(s) -
Zhenya Yan,
Hongqing Zhang,
Engui Fan
Publication year - 1999
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.48.1
Subject(s) - trigonometric functions , nonlinear system , soliton , traveling wave , class (philosophy) , independent equation , mathematical analysis , physics , trigonometry , wave equation , evolution equation , mathematics , mathematical physics , computer science , quantum mechanics , geometry , artificial intelligence
In this paper, with the help of Mathematica, three travelling wave solutions for a class of nonlinear evolution equations utt+auxx+bu+cu3=0 are obtained by trigonometric function method and Wu-eliminition method which include new trarelling wave solutions, bell soliton solutions and kink soliton solutions. Some equations such as Duffing equation, Klein-Gordon equation, Landau-Ginburg-Higgs equation and 4 equation are particular cases of the evolution equations. The method also can be applied to other nonlinear equations.