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Original Articles

New exact travelling wave solutions for some famous nonlinear partial differential equations using the improved tanh-function method

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Pages 741-751 | Received 22 Dec 2005, Accepted 08 Oct 2006, Published online: 15 Jan 2007
 

Abstract

The improved tanh-function method is a powerful tool for obtaining exact travelling wave solutions. The method is used for constructing exact travelling wave solutions and new kinds of solutions for the modified dispersive water wave equation, the Abrahams–Tsuneto reaction diffusion system, and for a class of reaction diffusion models. The solutions obtained are different from those reported in the literature.

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