| 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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| Fund Project: |
| Author Name | Affiliation | | 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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