The Davey Stewartson system and the Bäcklund Transformations

Details The Davey Stewartson system and the Bäcklund Transformations The Davey Stewartson system and the Bäcklund Transformations

1998-04-09

arxiv.org/abs/solv-int/9804009v2

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX

Scientific paper

10.1143/JPSJ.67.3038

We consider the (coupled) Davey-Stewartson (DS) system and its B\"{a}cklund 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\"{o}dinger equations.

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