A modified tanh-coth method for solving the KdV and the KdV-Burgers' equations

作者：Wazzan Luwai^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2009, 14(2): 443-450.

DOI：10.1016/j.cnsns.2007.06.011

• KdV equation
• KdV-Burgers' equation
• The extended tanh method
• The tanh-coth method
• Riccati equation
• 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.

• 出版日期2009-2