Toda方程的扰动及其双Hamilton结构  

The Perturbation of Toda Lattice Equations and its Bi-Hamiltonian Structures

作　　者：张建兵[1] 周汝光[1] 

机构地区：[1]徐州师范大学数学系,江苏徐州221116

出　　处：《徐州师范大学学报（自然科学版）》2005年第3期15-18,共4页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10471120);国家重点基础研究发展规划资助项目(G20000770301)

摘　　要：研究了离散孤立子方程的扰动系统.通过对Toda格位势实施标准扰动,得到了一族新的离散可积系统:扰动Toda格系统.证明了这些系统也具有零曲率表示和双Hamilton结构.The perturbation systems of discrete soliton equations are investigated. Through standard perturbation of potentials for the Toda lattice hierarchy, the new integrable systems are obtained. Their integrabilities, such as zero curvature representations and bi-Hamiltonian structures are established. These results are the generalizations for that of the soliton equations with continuous variables in the discrete case.

关 键 词：扰动 双HAMILTON结构 零曲率表示 

分 类 号：O175[理学—数学]