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The Davey Stewartson system and the Bäcklund Transformations

Masato Hisakado
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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.

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BibTeXRIS

Masato Hisakado. 1998-04-14. The Davey Stewartson system and the Bäcklund Transformations. https://doi.org/10.1143/jpsj.67.3038

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