具有Liouville可积的非线性微分-差分方程族及其守恒律  

A Liouville Integrable Nonlinear Differential-Difference Equation and its Conservation Laws

作　　者：赵秋兰[1] 李欣越[1] 

机构地区：[1]山东科技大学理学院,山东青岛266510

出　　处：《青岛大学学报（自然科学版）》2008年第3期26-30,40,共6页Journal of Qingdao University(Natural Science Edition)

摘　　要：通过离散的零曲率表示导出了一个基于离散的矩阵谱问题的典型晶格孤子方程,同时证明了相应的晶格系统是Liouville可积的,进一步通过一个直接的办法给出了相应晶格系统的无穷多守恒律。A lattice soliton equation is proposed as a typical lattice system in the hierarchy of lattice soliton equations by discrete zero curvature representation, which is derived from a discrete matrix spectral problem. The Liouville integrability for the corresponding lattice system is demonstrated. Moreover, infinitely many conservation laws of corresponding lattice system are obtained by a direct way.

关 键 词：离散可积系统 迹恒等式 HAMILTON结构 LIOUVILLE可积 守恒律 

分 类 号：O175[理学—数学]