Sharma-Tasso-Olver方程的对称分析及精确解  

Symmetry analysis and the exact solutions to Sharma-Tasso-Olver equation

作　　者：田丽娜[1] 王志林[1] 苏旺辉[1] 陈莉[1] 

机构地区：[1]兰州城市学院数学学院,兰州730070

出　　处：《兰州大学学报（自然科学版）》2013年第4期525-529,534,共6页Journal of Lanzhou University(Natural Sciences)

摘　　要：利用Lie群分析方法得到了Sharma-Tasso-Olver方程的对称、最优系统,并结合扩展的G′/G-方法得到了Sharma-Tasso-Olver方程的一些精确解.The symmetries and the optimal system of the Sharma-Tasso-Olver equation were obtained by using the Lie group analysis. The extended （G′/G）-expansion method was successfully demonstrated to find some new-form exact solutions for the Sharma-Tasso-Olver equation. This method could be used to a broad class of other nonlinear evolution equations.

关 键 词：Sharma-Tasso—Olver方程 扩展的G′ G-方法 对称 最优系统 精确解 

分 类 号：O175.2[理学—数学] O411.1[理学—基础数学]