Waves in the Davey-Stewartson equation

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Published under licence by IOP Publishing Ltd
, , Citation M Boiti et al 1991 Inverse Problems 7 175 DOI 10.1088/0266-5611/7/2/003

0266-5611/7/2/175

Abstract

Generalized Backlund gauge transformations depending on arbitrary functions are introduced. They are used to generate wave solutions of the Davey-Stewartson equation. In particular a version of the Davey-Stewartson equation which is completely integrable in the Hamiltonian sense is considered. In this case different forms of extended string-type wave solutions are given.

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10.1088/0266-5611/7/2/003