A Hierarchy of Integrable Lattice Soliton Equations and New Integrable Symplectic Map

被引：0
|
作者：
SUN Ye-Peng CHEN Deng-Yuan Department of Mathematics
机构：
来源：
Communications in Theoretical Physics | 2006年 / 45卷 / 03期
基金：
中国国家自然科学基金;
关键词：
lattice soliton equation; discrete Hamiltonian structure; integrable symplectic map;
D O I：
暂无
中图分类号：
O175.2 [偏微分方程]; O411.1 [数学物理方法];
学科分类号：
0701 ; 070104 ;
摘要：
Starting from a discrete spectral problem,a hierarchy of integrable lattice soliton equations is derived.It isshown that the hierarchy is completely integrable in the Liouville sense and possesses discrete bi-Hamiltonian structure.A new integrable symplectic map and finite-dimensional integrable systems are given by nonlinearization method.Thebinary Bargmann constraint gives rise to a B(a|¨)cklund transformation for the resulting integrable lattice equations.Atlast,conservation laws of the hierarchy are presented.
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页码：405 / 410
页数：6
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