Modified extended tanh-function method for solving nonlinear partial differential equations

S.A. El-Wakil and M.A. Abdou

Chaos, Solitons & Fractals, 2007, vol. 31, issue 5, 1256-1264

Abstract: Based on computerized symbolic computation, modified extended tanh-method for constructing multiple travelling wave solutions of nonlinear evolution equations is presented and implemented in a computer algebraic system. Applying this method, with the aid of Maple, we consider some nonlinear evolution equations in mathematical physics such as the nonlinear partial differential equation, nonlinear Fisher-type equation, ZK-BBM equation, generalized Burgers–Fisher equation and Drinfeld–Sokolov system. As a result, we can successfully recover the previously known solitary wave solutions that had been found by the extended tanh-function method and other more sophisticated methods.

Date: 2007
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:5:p:1256-1264

DOI: 10.1016/j.chaos.2005.10.072

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