对于求耦合KdV方程组的精确解两种方法的尝试  

An Attempt on two Methods for Finding Exact Solutions of a Coupled KdV Equations

作　　者：田景芝[1] 

机构地区：[1]云南民族大学数学与计算机科学学院,昆明650031

出　　处：《四川理工学院学报（自然科学版）》2008年第1期33-35,共3页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

摘　　要：尝试用Jacobi椭圆函数展开法和F展开法来求解耦合KdV方程组。得出了用这两种方法求KdV方程组的精确解都不很理想,存在某些限定条件,并分析了出现此种情况的原因。We will attempt to solve a coupled KdV equations by using two methods which are very effective in solving a large class of nonlinear evolution equations,namely,Jacobi elliptic function expansion method and F-expansion method.We obtain the result that there exists certain restrictions when use the two methods to solve exact solutions of a coupled KdV equations. Furthemore,the cause of this phenomenon is obtained

关 键 词：齐次平衡原则 耦合KDV方程组 JACOBI椭圆函数展开法 F展开法 精确解 

分 类 号：O175[理学—数学]