A NEW DISCRETE INTEGRABLE COUPLING SYSTEM AND ITS HAMILTONIAN STRUCTURE FOR THE MODIFIED TODA LATTICE HIERARCHY

• 作者: Fajun Yu Shuo Feng
• 来源期刊: 应用数学年刊：英文版
• 学科: 数学
• 关键词: 数学分析 数学理论 应用数学 函数
• 年，卷（期）: 2015,（3）
• 页码范围: 274-286
• 页数: 13页
• 分类号: O1

摘要

We present a new discrete integrable coupling system by using the matrix Lax pair U, V ∈ sl(4). A novel spectral problem of modified Toda lattice soliton hierarchy is considered. Then, a new discrete integrable coupling equation hierarchy is obtained through the method of the enlarged Lax pair. Finally, we obtain the Hamiltonian structure of the integrable coupling system of the soliton equation hierarchy using the matrix-form trace identity. This discrete integrable coupling system includes a kind of a modified Toda lattice hierarchy.