Applications of extended Tanh function method in two nonlinear evolution equations

Abstract

Abstract:

Algebraic method can directly and efficiently construct the exact solutions of nonlinear evolution equations,and the computing can be achieved by computer algebraic systems. A new exact traveling wave solution of Kaup-Kupershmidt equation and (2+1)-dimensional Kdv-Burgers equation is successfully constructed by using the extended Tanh function method. The exact traveling wave solution with double arbitrary parameters is respectively expressed by hyperbolic functions,trigonometric functions and rational functions. Some solitary wave solutions can be obtained from hyperbolic function solutions when the parameters are regarded as special values.

Key words: extended Tanh function method, traveling wave solutions, Kaup-Kupershmidt equation, (2+1)-dimensional Kdv-Burgers equation

CLC Number:

O175.29

LIU Xue-mei,JIE Xian. Applications of extended Tanh function method in two nonlinear evolution equations[J]. .

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