基于离散的刘维尔可积系统族及其可积耦合  

A Family of Discrete Louville Integrable Structure and Integrable Coupling

作　　者：李欣越[1] 赵秋兰[1] 李玉青[1] 

机构地区：[1]山东科技大学理学院,青岛266510

出　　处：《青岛大学学报（自然科学版）》2007年第2期27-31,共5页Journal of Qingdao University(Natural Science Edition)

摘　　要：基于一离散等谱问题建立起一族典型的非线性可积孤子方程族,同时给出了该孤子方程族的哈密顿结构,还证明了该孤立子方程族是刘维尔可积的,最后,也通过扩展的Lax对给出了该孤子方程族的可积耦合。Searching for new lattice equations is still an important and complicated task. A hierarchy of nonlinear integrable lattice soliton equations is derived from a discrete spectral problem in this paper;the lattice soliton equation is proposed as a typical lattice systems. The Hamiltonian structure and Liouville integrability for the corresponding lattice system is demonstrated. Finally,the integrable coupling systems of corresponding lattice systems are deduced through enlarging associated Lax pair.

关 键 词：离散可积系统 迹恒等式 哈密顿结构 可积耦合 

分 类 号：O175[理学—数学] O234[理学—基础数学]