Constructing Exact Solutions for Two Nonlinear Systems
Received:June 13, 2005  Revised:November 27, 2005
Key Words: generalized tanh functions method   solitary wave solution   $(2+1)$-dimensional dispersive long-wave system (DLWs)   reaction-diffusion equations.  
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Author NameAffiliation
ZHAO Xue-qin Department of Applied Mathematics, Dalian University of Technology, Liaoning 116024, China
Department of Mathematics, Qufu Normal University, Shandong 273165, China 
ZHI Hong-yan Department of Applied Mathematics, Dalian University of Technology, Liaoning 116024, China 
ZHANG Hong-qing Department of Mathematics, Qufu Normal University, Shandong 273165, China 
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Abstract:
      Based on the computerized symbolic, a new generalized tanh functions method is used for constructing exact travelling wave solutions of nonlinear partial differential equations (PDES) in a unified way. The main idea of our method is to take full advantage of an auxiliary ordinary differential equation which has more new solutions. At the same time, we present a more general transformation, which is a generalized method for finding more types of travelling wave solutions of nonlinear evolution equations (NLEEs). More new exact travelling wave solutions to two nonlinear systems are explicitly obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.01.015
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