两种方法求组合KdV方程的新解  

The New Solutions of Combined KdV Equation with Two Methods

作　　者：李俊焕 郑一[1] 

机构地区：[1]青岛理工大学理学院,青岛266033

出　　处：《青岛理工大学学报》2011年第5期123-126,共4页Journal of Qingdao University of Technology

摘　　要：针对组合KdV方程,利用Jacobi椭圆函数展开法和修正的双曲正切函数展开法,分别研究了该类方程的椭圆余弦函数解、第三类Jacobi椭圆函数解和奇异行波解,给出了KdV方程新的周期解,所用方法同样可应用于求解其他类非线性方程.In connection with the combined KdV equation,its solutions of Jacobi cosine elliptic function,the third kind of Jacobi elliptic function and the singular traveling wave were studied respectively by means of Jacobi elliptic function and modified hyperbolic tangent function expansion methods.The new periodic solutions of KdV equations were obtained by this method,which can be applied to the solutions of other kinds of nonlinear equations.

关 键 词：KDV方程 椭圆函数法 双曲正切函数法 准确周期解 

分 类 号：O241.82[理学—计算数学]