EXACT TRAVELING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS WITH NONLINEAR TERMS OF ANY ORDER

Yong Chen (), Biao Li () and Hong-Qing Zhang
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Yong Chen: Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People's Republic of China
Biao Li: Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People's Republic of China
Hong-Qing Zhang: Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People's Republic of China

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 01, 99-112

Abstract: In this paper, we improved the tanh method by means of a proper transformation and general ansätz. Using the improved method, with the aid ofMathematica™, we consider some nonlinear evolution equations with nonlinear terms of any order. As a result, rich explicit exact traveling wave solutions for these equations, which contain kink profile solitary wave solutions, bell profile solitary wave solutions, rational solutions, periodic solutions, and combined formal solutions, are obtained.

Keywords: Nonlinear evolution equations; exact traveling wave solutions; symbolic computation (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103004243

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