Integrable equations in (2+1) dimensions associated with symmetric and homogeneous spaces
- 1 September 1987
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 28 (9) , 2018-2024
- https://doi.org/10.1063/1.527463
Abstract
Generalizations of the N‐wave, Davey–Stewartson, and Kadomtsev–Petviashvili equations associated with homogeneous and symmetric spaces are presented. These equations are (2+1)‐dimensional generalizations of those presented by Fordy and Kulish [Commun. Math. Phys. 8 9, 427 (1983)] and Athorne and Fordy [J. Phys. A, 2 0, 1377 (1987)]. Examples are explicitly presented that are associated with the simplest spaces. In particular, a new single component, (2+1)‐dimensional generalization of the KdV equation is presented.Keywords
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