一个广义Toda 孤子族的非线性可积耦合系统

数学物理学报 ›› 2012, Vol. 32 ›› Issue (5): 974-981.

一个广义Toda 孤子族的非线性可积耦合系统

于发军

沈阳师范大学数学与系统科学学院沈阳 |110034|中国科学院数学与系统科学研究院系统科学研究所北京 100080

收稿日期:2011-04-10 修回日期:2012-02-10 出版日期:2012-10-25 发布日期:2012-10-25
基金资助:
辽宁省教育厅高校优秀人才支持计划(LJQ2011119)和中国博士后基金(2011M500404)资助

A Real Nonlinear Integrable Coupling for Generalized Toda Soliton Hierarchy

YU Fa-Jun

School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034; Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100080

Received:2011-04-10 Revised:2012-02-10 Online:2012-10-25 Published:2012-10-25
Supported by:
辽宁省教育厅高校优秀人才支持计划(LJQ2011119)和中国博士后基金(2011M500404)资助

摘要/Abstract

摘要：

从非半单的矩阵李代数出发, 构造新的Lax对, 给出了一种新的建立非线性可积耦合系统的方法.并将这种方法直接运用到广义的Toda谱问题中, 得到了一个新的真正的非线性离散可积耦合系统.

关键词: 非线性可积耦合系统, 离散孤子族, 非半单

Abstract:

In this paper, beginning with Lax pairs from special non-semisimple matrix Lie algebras, we establish a scheme for constructing nonlinear discrete integrable couplings. A direct application to the generalized Toda spectral problem leads to a novel nonlinear discrete integrable coupling, which is a real nonlinear integrable coupling.

Key words: Nonlinear integrable coupling system, Discrete soliton hierarchy, Non-semisimple

中图分类号:

35Q51

于发军. 一个广义Toda 孤子族的非线性可积耦合系统[J]. 数学物理学报, 2012, 32(5): 974-981.

YU Fa-Jun. A Real Nonlinear Integrable Coupling for Generalized Toda Soliton Hierarchy[J]. Acta mathematica scientia,Series A, 2012, 32(5): 974-981.

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