Document Zbl 1221.35320

A modified tanh-coth method for solving the general Burgers-Fisher and the Kuramoto-Sivashinsky equations. (English) Zbl 1221.35320

Commun. Nonlinear Sci. Numer. Simul. 14, No. 6, 2642-2652 (2009).

Summary: In this work we use a modified tanh-coth method to solve the general Burgers-Fisher and the Kuramoto-Sivashinsky equations. The main idea is to take full advantage of the Riccati equation that the tanh-function satisfies. New multiple travelling wave solutions are obtained for the general Burgers-Fisher and the Kuramoto-Sivashinsky equations.

Cited in 18 Documents

MSC:

35Q51	Soliton equations
35Q53	KdV equations (Korteweg-de Vries equations)

Keywords:

general Burgers-Fisher equation; Kuramoto-Sivashinsky equation; extended tanh method; tanh-coth method; Riccati equation; travelling wave solutions

Software:

ATFM

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References:

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