Derivative and higher order extensions of Davey-Stewartson equation from matrix KP hierarchy

Details Derivative and higher order extensions of Davey-Stewartson equation from matrix KP hierarchy Derivative and higher order extensions of Davey-Stewartson equation from matrix KP hierarchy

1993-11-25

arxiv.org/abs/hep-th/9311153v1

J.Math.Phys. 36 (1995) 4192-4202

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex

Scientific paper

10.1063/1.530955

It is shown that the matrix KP hierarchy can yield new integrable equations in $(2+1)$-dimensions along with the corresponding Lax pair. For particular gauge choice this may result derivative and also a higher order nonlinear extension of the Devay-Stewartson equation (DSE),the higher order DSE being a higher dimensional generalisation of the Kundu- Eckhaus equation. Such gauge transformation is shown also to produce significant extensions to the constrained matrix KP system.

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