Bicomplex formulation and Moyal deformation of (2+1)-dimensional Fordy-Kulish systems
Aristophanes Dimakis, Folkert Muller-Hoissen
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.
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