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

Anjan Kundu; Walter Strampp

doi:10.1063/1.530955

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arXiv · hep-th/9311153

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

Anjan Kundu·Walter Strampp

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Abstract

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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Anjan Kundu, Walter Strampp. 1993-11-25. Derivative and higher order extensions of Davey-Stewartson equation from matrix KP hierarchy. https://doi.org/10.1063/1.530955

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