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Extension of Moyal-deformed hierarchies of soliton equations
Aristophanes Dimakis, Folkert Muller-Hoissen
Moyal-deformed hierarchies of soliton equations can be extended to larger hierarchies by including additional evolution equations with respect to the deformation parameters. A gene…
Explorations of the Extended ncKP Hierarchy
Aristophanes Dimakis, Folkert Muller-Hoissen
A recently obtained extension (xncKP) of the Moyal-deformed KP hierarchy (ncKP hierarchy) by a set of evolution equations in the Moyal-deformation parameters is further explored. F…
Extension of Noncommutative Soliton Hierarchies
Aristophanes Dimakis, Folkert Muller-Hoissen
A linear system, which generates a Moyal-deformed two-dimensional soliton equation as integrability condition, can be extended to a three-dimensional linear system, treating the de…