A NEW INTEGRABLE SYMPLECTIC MAP ASSOCIATED WITH A DISCRETE MATRIX SPECTRAL PROBLEM

• 作者: DuanChunmei XuXixiang
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 阵列孤立函数 离散汉密尔顿系统 非线性化 偶对映射 微分方程 数学物理
• 年，卷（期）: 2005,（2）
• 页码范围: 209-222
• 页数: 14页
• 分类号: O175

摘要

A hierarchy of lattice soliton equations is derived from a discrete matrix spectral problem. It is shown that the resulting lattice soliton equations are all discrete Liouville integrable systems. A new integrable symplectic map and a family of finite-dimensional integrable systems are given by the binary nonlinearization method. The binary Bargmann constraint gives rise to a Bǎcklund transformation for the resulting lattice soliton equations.