The Davey Stewartson system and the B\"acklund Transformations
Abstract
We consider the (coupled) Davey-Stewartson (DS) system and its B\"acklund 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 Schr\"odinger equations.
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