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.
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页码：557 / 568
页数：12
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