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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
【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.
【Abstract】 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】 变系数非线性方程;
推广的映射法;
椭圆方程;
精确解;
【Key words】 variable coefficient nonlinear model; extend mapping method; elliptic equation; exact solution;
【Key words】 variable coefficient nonlinear model; extend mapping method; elliptic equation; exact solution;
- 【文献出处】 浙江师范大学学报(自然科学版) ,Journal of Zhejiang Normal University (Natural Sciences) , 编辑部邮箱 ,2004年04期
- 【分类号】O175
- 【被引频次】3
- 【下载频次】39