New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations

作者：Wazwaz Abdul Majid^*

来源：Applied Mathematics and Computation, 2006, 182(2): 1642-1650.

DOI：10.1016/j.amc.2006.06.002

• Kuramoto-Sivashinsky equation
• Kawahara equation
• the tanh method
• extended tanh method
• solitons
• periodic wave solutions

In this work, the Kuramoto-Sivashinsky equation and the Kawahara equation are studied. The tanh method and the extended tanh method are used for analytic treatment for these two equations. By means of these methods, new solitary wave solutions are determined for each equation. The two approaches are reliable and manageable.

• 出版日期2006-11-15