Abundant exact and explicit solitary wave and periodic wave solutions to the Sharma-Tasso-Olver equation

作者：Shang Yadong^*; Qin Jinghong; Huang Yong; Yuan Wenjun

来源：Applied Mathematics and Computation, 2008, 202(2): 532-538.

DOI：10.1016/j.amc.2008.02.034

• Sharma-Tasso-Olver equation
• the extended hyperbolic function method
• solitary wave solutions
• periodic wave solutions

This paper is concerned with a double nonlinear dispersive equation - the Sharma-Tasso-Olver equation. The extended hyperbolic function method is employed to investigate the solitary and periodic travelling waves in this equation. With the aid of Mathematica and Wu-elimination Method, the abundant exact explicit solutions of the nonlinear Sharma-Tasso-Olver equation are derived. The solutions obtained in this paper include (a) solitary wave solutions, (b) the singular travelling wave solutions, and (c) periodic travelling wave solutions of triangle function types. Several entirely new exact solutions to the equation are explicitly obtained, in addition to deriving all known solutions in a systematic way. This work can be regard as an extension to the recent work by Wazwaz.

• 出版日期2008-8-15
• 单位广州大学