The constraint on potential and decomposition for (2+1)-dimensional integrable systems
- 21 September 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (18) , L1065-L1072
- https://doi.org/10.1088/0305-4470/24/18/002
Abstract
Besides a sufficient condition, a necessary condition is given to determine some kind of consistent constraint on the potential of a (2+1)-dimensional integrable system, which cannot be obtained from the sufficient condition. Under this kind of constraint on the potential a (2+1)-dimensional integrable system can be decomposed into two commuting (1+1)-dimensional integrable systems, and can be further decomposed into three commuting finite-dimensional integrable Hamiltonian systems. The BKP hierarchy is taken as an illustrative example.Keywords
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