变系数KdV方程组的精确解  

Explicit Solutions to the Coupled KdV Equations with Variable Coefficients

作　　者：徐桂琼[1] 李志斌[2] 

机构地区：[1]上海大学国际工商与管理学院信息管理系,上海200436 [2]华东师范大学计算机科学技术系,上海200062

出　　处：《应用数学和力学》2005年第1期92-98,共7页Applied Mathematics and Mechanics

基　　金：国家重点基础研究发展规划资助项目(20020269003);上海市自然科学基金资助项目(ZD14012)

摘　　要：　将Jacobi椭圆正弦函数展开法与Jacobi椭圆余弦函数展开法引入到变系数KdV方程组的求解中。By means of sn-function expansion method and cn-function expansion method, several kinds of explicit solutions to the coupled KdV equations with variable coefficients are obtained, which include three sets of periodic wave-like solutions. These solutions degenerate to solitary wave-like solutions at a certain limit. Some new solutions are presented.

关 键 词：椭圆正弦函数展开 椭圆余弦函数展开: 类周期波解 类孤波解 变系数 KDV方程组 

分 类 号：O175.29[理学—数学]