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arXiv · 1302.7006

On Classification of Integrable Davey-Stewartson Type Equations

Benoit Huard·Vladimir Novikov
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Abstract

This paper is devoted to the classification of integrable Davey-Stewartson type equations. A list of potentially deformable dispersionless systems is obtained through the requirement that such systems must be generated by a polynomial dispersionless Lax pair. A perturbative approach based on the method of hydrodynamic reductions is employed to recover the integrable systems along with their Lax pairs. Some of the found systems seem to be new.

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Benoit Huard, Vladimir Novikov. 2013-02-27. On Classification of Integrable Davey-Stewartson Type Equations. https://doi.org/10.1088/1751-8113/46/27/275202

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