GENERALIZED EXTENDED TANH-FUNCTION METHOD TO CONSTRUCT NEW EXPLICIT EXACT SOLUTIONS FOR THE APPROXIMATE EQUATIONS FOR LONG WATER WAVES

Yong Chen () and Zheng Yu
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Yong Chen: Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China;
Zheng Yu: Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China;

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 05, 601-611

Abstract: In this paper, a generalized extended tanh-function method for constructing exact solutions of nonlinear evolution equations (NEEs) is presented and implemented in a computer algebraic system. Applying the generalized method, with the aid ofMaple, we consider the system of the approximate equations for long water waves and find the new more general explicit exact solutions. The properties of the new solitary wave solutions are shown by some figures.

Keywords: Nonlinear evolution equations; exact solutions; symbolic computation; Riccati equation (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103004760

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