The Bäcklund transformation and novel solutions for the Toda lattice

被引：0
|
作者：
Sun, Mei-Na [1 ]
Deng, Shu-Fang [1 ]
Chen, Deng-Yuan [1 ]
机构：
[1] Department of Mathematics, Shanghai University, Shanghai 200436, China
来源：
Chaos, Solitons and Fractals | 2005年 / 23卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Difference equations - Function evaluation - Nonlinear equations - Parameter estimation - Problem solving - Solitons;
D O I：
10.1016/S0960-0779(04)00348-0
中图分类号：
学科分类号：
摘要：
The bilinear bäcklund tranformation (BT) for the Toda lattice was derived from the Darboux transformation. A modified bilinear Bäcklund transformation was used to obtain novel solutions for the Toda lattice. The BT was modified to obtain N-soliton solutions and to limit solutions. The BT has close relations to the inverse scattering transform and conservation law and also has some different forms, which helps to fine multi-soliton solutions.
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页码：1169 / 1175
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