Integrable coupling of the Ablowitz-Ladik hierarchy and its Hamiltonian structure

被引：5

作者：

Yao, Yuqin ^{[1
]}

Ji, Jie ^{[2
]}

Liu, Yuqing ^{[3
]}

Chen, Dengyuan ^{[3
]}

机构：

[1] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

[2] Zhejiang Gongshang Univ, Coll Stat & Comp Sci, Hangzhou 310018, Peoples R China

[3] Shanghai Univ, Coll Sci, Dept Math, Shanghai 200444, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 02期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.na.2007.05.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The trace identity is generalized to work for the discrete zero-curvature equation associated with the Lie algebra possessing degenerate Killing forms. Then a kind of integrable coupling of the Ablowitz-Ladik (AL) hierarchy is obtained and its Hamiltonian structure is worked out. Moreover, Liouville integrability of the integrable coupling is demonstrated. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：557 / 568

页数：12

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