安徽大学学报（自然科学版）2012，Vol.36Issue(1)：57-63,7.
Sharma-Tasso-Olver方程和Benjamin方程新的精确解
New exact solutions for Sharma-Tasso-Olver equation and Benjamin equation
摘要
Abstract
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Key words
the (G'/G) -expansion method/Sharma-Tasso-Olver equation/Benjamin equation/exact solutions/nonlinear evolution equations分类
数理科学引用本文复制引用
纪建成,李晓锋,韩家骅..Sharma-Tasso-Olver方程和Benjamin方程新的精确解[J].安徽大学学报（自然科学版）,2012,36(1):57-63,7.基金项目
安徽省科技厅年度基金重点资助项目(01041188) （01041188）
安徽省省级精品课程建设基金资助项目 （）
