Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy

被引：11
|
作者：
Gesztesy, Fritz [1 ]
Holden, Helge
Michor, Johanna
Teschl, Gerald
机构：
[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA
来源：
STUDIES IN APPLIED MATHEMATICS | 2008年 / 120卷 / 04期
基金：
奥地利科学基金会;
关键词：
D O I：
10.1111/j.1467-9590.2008.00405.x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive a systematic and recursive approach to local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik (AL) hierarchy. Our methods rely on a recursive approach to the AL hierarchy using Laurent polynomials and on asymptotic expansions of the Green's function of the AL Lax operator, a five-diagonal finite difference operator.
引用
收藏
页码：361 / 423
页数：63
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