用推广的映射法研究变系数非线性发展方程  

Study of extened elliptic equation mapping method to variable coefficient nonlinear models

作　　者：朱加民[1] 

机构地区：[1]浙江丽水学院物理系,浙江丽水323000

出　　处：《浙江师范大学学报（自然科学版）》2004年第4期354-359,共6页Journal of Zhejiang Normal University:Natural Sciences

摘　　要：为寻求变系数非线性发展方程的解,利用推广的映射法,研究了变系数非线性KdV型方程,得到了它的周期波解、具有周期性行为的孤波解、Jacobian椭圆函数解和Weierstrass椭圆函数解等.In order to obtain the solutions of variable coefficient nonlinear equation, the elliptic equation mapping method was generalized. Construction of the exact solutions of variable coefficient nonlinear wave equations include periodic wave solutions, Jacobian double periodic wave solutions and Weierstrass double periodic wave solutions were shown as application of the generalized method.

关 键 词：变系数 非线性发展方程 周期波解 KDV型方程 椭圆函数解 孤波解 推广 利用 性行为 周期性 

分 类 号：O175[理学—数学] O411.1[理学—基础数学]