应用改进的(G/G′)展开法求Ostrovsky方程的精确解  

Derivation of exact solutions for Ostrovsky equations with the extended-G/G′ expansion method

作　　者：王利波[1] 冯庆江[1] 

机构地区：[1]凯里学院数学科学学院,贵州凯里556000

出　　处：《中国科技信息》2013年第15期46-47,73,共3页China Science and Technology Information

基　　金：凯里学院2013年度规划课题(Z1329)

摘　　要：应用改进的(G/G′)展开法构造出(1+1)维Ostrovsky方程的精确解,这些解包含双曲函数通解、三角函数通解和有理函数通解三种形式。当双曲函数通解中的参数取特殊值时,得到了孤立波解。当三角函数通解中引入一个参量后,可得到对应通解的周期波函数解。Using the extended G/G --expansion method,exact solutions for Ostrovsky equation are constructed.As the result,the hyperbolic function solutions,trigonometric function solutions,and rational solutions with arbitrary parameters to the equation are obtained.When the arbitrary parameters in hyperbolic function solutions are taken as some special values ,the solitary wave solutions can be obtained.By introducing a parameter.the trigonometric function solutions can be expressed as periodic wave solutions.

关 键 词：改进的(G G′)展开法 OSTROVSKY方程 精确解 

分 类 号：O175.29[理学—数学]