Bicomplex formulation and Moyal deformation of (2+1)-dimensional Fordy-Kulish systems
Exactly Solvable and Integrable Systems
2009-10-31 v2
Abstract
Using bicomplex formalism we construct generalizations of Fordy-Kulish systems of matrix nonlinear Schroedinger equations on two-dimensional space-time in two respects. Firstly, we obtain corresponding equations in three space-time dimensions. Secondly, a Moyal deformation is applied to the space-time coordinates and the ordinary product of functions replaced by the Moyal product in a suitable way. Both generalizations preserve the existence of an infinite set of conservation laws.
Keywords
Cite
@article{arxiv.nlin/0008016,
title = {Bicomplex formulation and Moyal deformation of (2+1)-dimensional Fordy-Kulish systems},
author = {Aristophanes Dimakis and Folkert Muller-Hoissen},
journal= {arXiv preprint arXiv:nlin/0008016},
year = {2009}
}
Comments
13 pages, additional references, serious revision in section 5: W-equation (5.14) and its derivation was missing