摘要
应用Fan-代数方法,借助Mathematica软件,获得了一类广义五阶KdV方程的多个精确解.这些解包括三角函数解,双曲函数解,有理函数解,Jacobi椭圆函数解等.有些解是与前人用其它方法所获得的解类似,有些解是前人未得到的.
In this paper, with the help of software Mathematica, many exact solutions to a type of generalized fifth-order KdV equation are obtained by using Fan-algebraic method. These solutions contain triangle function solutions, hyperbolic function solutions, rational function solutions, Jacobi elliptic function solutions and so on.
出处
《西南民族大学学报（自然科学版）》
CAS
2008年第5期905-911,共7页
Journal of Southwest Minzu University(Natural Science Edition)
基金
国家自然科学基金资助项目(10871073)
关键词
广义五阶KDV方程
Fan-代数方法
三角函数解
双曲函数解
有理函数解
JACOBI椭圆函数解
generalized fifth-order KdV equation
Fan- algebraic method
triangle function solution
hyperbolic function solution
rational function solution
Jacobi elliptic function solution
