离散晶格的正族、负族及其Hamilton结构  

A discrete positive hierarchy and a negative hierarchy as well as their Hamilton structures

作　　者：常辉[1] 屈哲[1] 陶可勤 

机构地区：[1]青岛滨海学院数学教研室,山东青岛266555

出　　处：《纯粹数学与应用数学》2014年第5期496-502,共7页Pure and Applied Mathematics

基　　金：山东省自然科学基金(ZR2011AQ017;ZR2010AM028)

摘　　要：构造了一个新的等谱问题,利用相容性条件,推导出离散晶格方程的正族和负族.再利用迹恒等式,建立其Hamilton结构.获得的离散方程族的达布变换、双线性化、对称、守恒率及其精确解也值得进一步研究.A new discrete spectral problem in the paper is devised, whose compatibility condition gives rise to a new positive hierarchy and a negative hierarchy of discrete integrable equations. Making use of the trace identity, their Hamiltonian structures are worked out respectively. The Darboux translation, bilinear form, symmetries, conservation laws, conserved quantities and their exact solutions of the resulting equation hierarchies are worth investigating in the future.

关 键 词：晶格方程 正族 负族 迹恒等式 HAMILTON结构 

分 类 号：O175[理学—数学]