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

作者机构：Department of MathematicsShanghai Jiao Tong University800 Dongchuan RoadShanghai 200240 Science and Literature SectionShijiazhuang Mechanized Infantry AcademyShijiazhuang 050083 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2011年第28卷第5期

页      面：4-7页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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 

主　　题：equation Hamiltonian Liouville 

摘      要：Coupled Korteweg-de Vries(KdV)systems have many important physical *** considering a 4×4spectral problem,we derive a discrete coupled KdV-type equation *** 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 *** also investigate the integrability in the Liouville sense and the multi-Hamiltonian structures for the obtained hierarchy.