Hamiltonian structure and infinite number of conservation laws for the coupled discrete KdV equations

被引：1
|
作者：
Yang H. [1 ]
Xu X. [2 ]
机构：
[1] Dept. of Comput. Sci. and Tech, Taishan College, Taian
[2] Dept. of Basic Courses, Shandong Univ. of Sci. and Tech, Qingdao
来源：
Applied Mathematics-A Journal of Chinese Universities | 2004年 / 19卷 / 4期
关键词：
Conservation laws; Discrete system; Hamilton structure; Trace identity;
D O I：
10.1007/s11766-004-0003-3
中图分类号：
学科分类号：
摘要：
A new discrete isospectral problem is introduced, from which the coupled discrete KdV hierarchy is deduced and is written in its Hamiltonian form by means of the trace identity. It is shown that each equation in the resulting hierarchy is Liouville integrable. Furthermore, an infinite number of conservation laws are shown explicitly by direct computation. © 2004, Springer Verlag. All Rights Reserved.
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页码：374 / 380
页数：6
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