Constraints of the 2+1 dimensional integrable soliton systems
- 1 January 1992
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 25 (2) , 419-431
- https://doi.org/10.1088/0305-4470/25/2/022
Abstract
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.Keywords
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