RESTRICTED FLOWS OF THE ABLOWITZ-LADIK HIERARCHY AND THEIR CONTINUOUS LIMITS

被引:33
|
作者
ZENG, YB [1 ]
RAUCHWOJCIECHOWSKI, S [1 ]
机构
[1] LINKOPING UNIV,DEPT MATH,S-58183 LINKOPING,SWEDEN
来源
关键词
D O I
10.1088/0305-4470/28/1/016
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is studied here how the Ablowitz-Ladik (AL) hierarchy and their restricted Bows are related to the AKNS hierarchy and to their restricted Bows in the continuous limit. It is shown that restricted Bows of the AL hierarchy yield discrete maps approximating restricted flows of the AKNS hierarchy. Integrals of motion and Lax representation for restricted Rows of the AL hierarchy as well as a discrete zero-curvature representation for the AL hierarchy with sources are given.
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页码:113 / 134
页数:22
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