Hamiltonian Structures and Integrability for a Discrete Coupled KdV-Type Equation Hierarchy  

作　　者：ZHAO Hai-Qiong ZHU Zuo-Nong ZHANG Jing-Li 赵海琼;朱佐农;张京丽(Department of Mathematics,Shanghai Jiao Tong University,800 Dongchuan Road,Shanghai 200240;Science and Literature Section,Shijiazhuang Mechanized Infantry Academy,Shijiazhuang 050083)

机构地区：[1]Department of Mathematics,Shanghai Jiao Tong University,800 Dongchuan Road,Shanghai 200240 [2]Science and Literature Section,Shijiazhuang Mechanized Infantry Academy,Shijiazhuang 050083

出　　处：《Chinese Physics Letters》2011年第5期4-7,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10971136;also in part by the Ministry of Education and Science of Spain under Contract No MTM2009-12670.

摘　　要：Coupled Korteweg-de Vries(KdV)systems have many important physical applications.By considering a 4×4spectral problem,we derive a discrete coupled KdV-type equation hierarchy.Our hierarchy includes the coupled Volterra system proposed by Lou et al.(e-print arXiv:0711.0420)as the first member which is a discrete version of the coupled KdV equation.We also investigate the integrability in the Liouville sense and the multi-Hamiltonian structures for the obtained hierarchy.

关 键 词：EQUATION HAMILTONIAN LIOUVILLE 

分 类 号：O17[理学—数学]