节点文献
修正KdV方程的极限解
Limit Solutions to Modified KdV Equation
【摘要】 该文给出一个严格的极限过程,从修正KdV方程的Hirota的2N-孤子解出发,得到N-双重极点解,并且给出后者的一个简洁表示.这种极限过程具有普遍性,可以应用到其他具有Hirota形式多孤子解的非线性发展方程.
【Abstract】 This paper describes an exact limit procedure by which a simple formula for the N-doublepole solution to the modified KdV equation is derived from its 2N-soliton solution in the Hirota’s form. This procedure is general and can be applied to other nonlinear evolution equations with multi-soliton solutions in the Hirota’s form.
【关键词】 修正KdV方程;
双线性方程;
2N-孤子解;
N-双重极点解;
极限过程;
【Key words】 modified KdV equation; bilinear equation; 2N-soliton solution; N-doublepole solution; limit procedure;
【Key words】 modified KdV equation; bilinear equation; 2N-soliton solution; N-doublepole solution; limit procedure;
【基金】 国家自然科学基金资助项目(10371070;10671121)
- 【文献出处】 上海大学学报(自然科学版) ,Journal of Shanghai University(Natural Science Edition) , 编辑部邮箱 ,2008年02期
- 【分类号】O175.24
- 【下载频次】125