Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2000-08-11
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.
Dimakis Aristophanes
Muller-Hoissen Folkert
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