扩展的φ´/φ展开法及Sharma-Tasso-Olver方程的行波解
Generalized φ´/φExpansion Method and the Traveling Wave Solutions of the STO Equation

DOI: 10.12677/PM.2013.33028, PP. 188-194

Keywords: 扩展的φ´/φ -展开法；行波解；三角函数解
Generalized -Expansion Method, Traveling Wave Solution, Trigonometric Functions Solution

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Abstract:

本文在原有扩展的φ′/φ展开法基础之上，不考虑&phi满足的辅助方程，只利用方程本身来确定，进而确定方程的解。文章讨论求解了Sharma-Tasso-Olver(STO)方程，获得了STO方程的行波解和三角函数解。
This paper is about to discuss the method which is based on the generalized φ′/φ -expansion method, and explain how to determine &phi by the equation itself without considering the auxiliary equation to make sure the solutions of the equation. This paper discusses the Sharma-Tasso-Olver (STO) equation and obtains the traveling wave solutions and trigonometric function solutions of the STO equation.

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