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A modified tanh–coth method for solving the KdV and the KdV–Burgers’ equations
Journal article   Peer reviewed

A modified tanh–coth method for solving the KdV and the KdV–Burgers’ equations

Luwai Wazzan
Communications in nonlinear science & numerical simulation, Vol.14(2), pp.443-450
02/2009
DOI: https://doi.org/10.1016/j.cnsns.2007.06.011

Abstract

KdV equation KdV–Burgers’ 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 Korteweg-de Vries and Korteweg-de Vries–Burgers’ 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 Korteweg-de Vries and Korteweg-de Vries–Burgers’ equations.

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