The Davey Stewartson system and the Bäcklund Transformations

Abstract

We consider the (coupled) Davey-Stewartson (DS) system and its Bäcklund transformations (BT). Relations among the DS system, the double Kadomtsev-Petviashvili (KP) system and the Ablowitz-Ladik hierarchy (ALH) are established. The DS hierarchy and the double KP system are equivalent. The ALH is the BT of the DS system in a certain reduction. {From} the BT of coupled DS system we can obtain new coupled derivative nonlinear Schrödinger equations.

13 pages, LaTeX

References in corpus (3)

• Bilinearization of a Generalized Derivative Nonlinear Schrödinger equation
• Functional representation of the Ablowitz-Ladik hierarchy
• Coupled Nonlinear Schrödinger equation and Toda equation (the Root of Integrability)

Cited by in corpus (1)

• Doubly periodic waves of a discrete nonlinear Schrödinger system with saturable nonlinearity