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：

CommunicationsinTheoreticalPhysics | 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.

引用

页码：405 / 410

页数：6