一类新的离散双哈密顿系统及其二元非线性可积分解  

A Novel Family of Discrete Bi-Hamiltonian Systems and its Integrable Decomposition by Binary Nonlinearization

作　　者：陈倩楠 徐西祥[1] 吴迪[1] CHEN Qian- nan XU Xi- xiang WU Di(Shandong University of Science and Technology,Qingdao 266590,Chin)

机构地区：[1]山东科技大学,山东青岛266590

出　　处：《潍坊学院学报》2016年第6期27-31,8,共6页Journal of Weifang University

摘　　要：孤子理论的研究不断发展,在很多科学领域都存在孤立子以及与孤立子理论密切联系的问题,可积耦合系统是在研究无中心的Virasoro对称代数或孤立子方程时产生的。首先由离散零曲率方程可推导出一类新的可积晶格方程族,进而由离散迹恒等式建立一个获得系的双孤子哈密顿结构,最后证明获得系的刘维尔可积性。The research on soliton theory is developing in many scientific fields and there exists soliton and soliton theoryclosely related problems, integrable coupling system is in the center of the study without Virasoro algebra or symmetricallysoliton equation. Firstly,discrete zero curvature equation is deduced, a new class of integrable lattice equation are then ob-tained by discrete trace identity established a system of double Hamiltonian structure,lastly, turned out to get the liouville in-tegrability system.

关 键 词：可积晶格方程 离散迹恒等式 双哈密顿结构 刘维尔可积 

分 类 号：Q029[生物学]