安徽大学学报（自然科学版）
安徽大學學報（自然科學版）
안휘대학학보（자연과학판）
JOURNAL OF ANHUI UNIVERSITY(NATURAL SCIENCES EDITION)
2012年
1期
57-63
,共7页
(G'/G)展开法%Sharma-Tasso-Olver方程%Benjamin方程%精确解%非线性发展方程
(G'/G)展開法%Sharma-Tasso-Olver方程%Benjamin方程%精確解%非線性髮展方程
(G'/G)전개법%Sharma-Tasso-Olver방정%Benjamin방정%정학해%비선성발전방정
the (G'/G) -expansion method%Sharma-Tasso-Olver equation%Benjamin equation%exact solutions%nonlinear evolution equations
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.
利用(G '/G)展開法,得到Sharma - Tasso - Olver方程和Benjamin方程包含參數的一繫列新的精確解.噹參數取特定值時,還可得到孤波解和週期波解.解的形式錶達為雙麯函數、三角函數及有理函數.該方法直接、簡單、有效且易于計算,其還可用來求解更多非線性髮展方程.
이용(G '/G)전개법,득도Sharma - Tasso - Olver방정화Benjamin방정포함삼수적일계렬신적정학해.당삼수취특정치시,환가득도고파해화주기파해.해적형식표체위쌍곡함수、삼각함수급유리함수.해방법직접、간단、유효차역우계산,기환가용래구해경다비선성발전방정.
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.
