The Davey Stewartson system and the B\"{a}cklund Transformations
solv-int
2009-10-31 v2 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.solv-int/9804009,
title = {The Davey Stewartson system and the B\"{a}cklund Transformations},
author = {Masato Hisakado},
journal= {arXiv preprint arXiv:solv-int/9804009},
year = {2009}
}
Comments
13 pages, LaTeX