Constraints of the 2+1 dimensional integrable soliton systems
Constraints of the 2+1 dimensional integrable soliton systems
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DOI：
10.1088/0305-4470/25/2/022
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发表时间：
1992-01
期刊：
影响因子：
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通讯作者：
Yi Cheng;Yi-shen Li
中科院分区：
文献类型：
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作者：
Yi Cheng;Yi-shen Li
证明了与2+1维孤子方程的某些可积族相联系的线性系统可以被约束到1+1维可积族，从而可以通过求解所得到的1+1维可积系统得到2+1维系统的子流形解.给出了KP族对AKNS族和Burgers族的约束，并给出了修正的KP和2+1维Caudrey-Dodd-Gibbon-Kotera-Sawata方程对1+1中几个可积系统的约束结果。
The authors show that the linear systems associated with some integrable hierarchies of the soliton equations in 2+1 dimensions can be constrained to integrable hierarchies in 1+1 dimensions such that submanifolds solutions of the given systems in 2+1 can be obtained by solving the resulting integrable systems in 1+1 dimensions. The constraints of the KP hierarchy to the AKNS and Burgers hierarchies respectively are shown in detail and the results of these for the modified KP and 2+1 dimensional analogue of the Caudrey-Dodd-Gibbon-Kotera-Sawata equations to several integrable systems in 1+1 are given.