Toda链方程的Casoratian解

上海大学学报(自然科学版)

Toda链方程的Casoratian解

陈鹏，王广胜，张大军，尹付梅

上海大学理学院，上海 200444

收稿日期:2006-06-19 修回日期:1900-01-01 出版日期:2007-04-30 发布日期:2007-04-30
通讯作者: 张大军

Casoratioan Solutions to Toda Lattice

CHEN Peng,WANG Guang-sheng,ZHANG Da-jun,YIN Fu-mei

School of Sciences, Shanghai University, Shanghai 200444, China

Received:2006-06-19 Revised:1900-01-01 Online:2007-04-30 Published:2007-04-30
Contact: ZHANG Da-jun

摘要/Abstract

摘要： 以Toda链为例，介绍一种构造Casoratian元素的矩阵代数方法，用以获得Toda链的Casoratian条件方程组的通解，由此引出Toda链的孤子解、Jordan块解、complexiton解及混合解.

关键词: Casoratian解, Toda链, 双线性方程

Abstract: A matrix algebra approach to construction of Casoratian entries is introduced.Ta king the Toda lattice as an example,all possible solutions for its Casoratian condition equations are derived.As a result,soliton solutions,Jordan-block solutions,complexiton solutions and mixed solutions to the Toda lattice are obtained .

Key words: bilinear form, Casoratian solution, Toda lattice

中图分类号:

O 175.24

陈鹏;王广胜;张大军;尹付梅. Toda链方程的Casoratian解[J]. 上海大学学报(自然科学版).

CHEN Peng;WANG Guang-sheng;ZHANG Da-jun;YIN Fu-mei. Casoratioan Solutions to Toda Lattice[J]. Journal of Shanghai University（Natural Science Edition）.

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