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A modified tanh–coth method for solving the general Burgers–Fisher and the Kuramoto–Sivashinsky equations
Journal article   Peer reviewed

A modified tanh–coth method for solving the general Burgers–Fisher and the Kuramoto–Sivashinsky equations

Luwai Wazzan
Communications in nonlinear science & numerical simulation, Vol.14(6), pp.2642-2652
01/06/2009
DOI: https://doi.org/10.1016/j.cnsns.2008.08.004

Abstract

General Burgers–Fisher equation Kuramoto–Sivashinsky equation Riccati equation The extended tanh method The tanh–coth method Travelling wave solutions
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.

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