Sharma-Tasso-Olver方程和Benjamin方程新的精确解(英文)  

New exact solutions for Sharma-Tasso-Olver equation and Benjamin equation

作　　者：纪建成[1] 李晓锋[1] 韩家骅[1] 

机构地区：[1]安徽大学物理与材料科学学院,安徽合肥230039

出　　处：《安徽大学学报（自然科学版）》2012年第1期57-63,共7页Journal of Anhui University(Natural Science Edition)

基　　金：安徽省科技厅年度基金重点资助项目(01041188);安徽省省级精品课程建设基金资助项目

摘　　要：利用(G'/G)展开法,得到Sharma-Tasso-Olver方程和Benjamin方程包含参数的一系列新的精确解.当参数取特定值时,还可得到孤波解和周期波解.解的形式表达为双曲函数、三角函数及有理函数.该方法直接、简单、有效且易于计算,其还可用来求解更多非线性发展方程.In this paper, the （G＇/G）-expansion method was successfully demonstrated to find travelling wave solutions for Sharma-Tasso-Olver equation and Benjamin equation. As a result, some new exact solutions with parameters were obtained. When the parameters were taken as special values, the solitary waves and periodic waves could be also derived from the travelling waves. The travelling wave solutions were expressed by the hyperbolic function, the trigonometric functions and the rational functions. This method is direct, concise, effective and easy to calculate, and can also be used for finding many other nonlinear evolution equations.

关 键 词：(G’/G)展开法 Sharma.Tasso—Olver方程 BENJAMIN方程 精确解 非线性发展方程 

分 类 号：O175.29[理学—数学]