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M. L. Wang, X. Z. Li and J. L. Zhang. The -expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics. Physics Letters A, 2008, 372: 417-423.

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• 标题: 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

  作者: 韩园媛, 李德生, 黄婷

  关键字: 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

  期刊名称: 《Pure Mathematics》, Vol.3 No.3, 2013-05-17

  摘要: 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.