On Classification of Integrable Davey-Stewartson Type Equations

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.

References in corpus (1)

• Coisotropic deformations of associative algebras and dispersionless integrable hierarchies

Cited by in corpus (2)

• Representations of sl(2,C) in the BGG category O and master symmetries
• Integrable systems of the intermediate long wave type in 2+1 dimensions