Bicomplex formulation and Moyal deformation of (2+1)-dimensional Fordy-Kulish systems

Details Bicomplex formulation and Moyal deformation of (2+1)-dimensional Fordy-Kulish systems Bicomplex formulation and Moyal deformation of (2+1)-dimensional Fordy-Kulish systems

2000-08-11

arxiv.org/abs/nlin/0008016v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, additional references, serious revision in section 5: W-equation (5.14) and its derivation was missing

Scientific paper

10.1088/0305-4470/34/12/305

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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