32 citations · 119 across the 14 of their papers we have counts for
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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…
Noncommutative Korteweg-de-Vries Equation
Aristophanes Dimakis, Folkert Muller-Hoissen
We construct a deformation quantized version (ncKdV) of the KdV equation which possesses an infinite set of conserved densities. Solutions of the ncKdV are obtained from solutions…
A Noncommutative Version of the Nonlinear Schrodinger Equation
Aristophanes Dimakis, Folkert Muller-Hoissen
We apply a (Moyal) deformation quantization to a bicomplex associated with the classical nonlinear Schrodinger equation. This induces a deformation of the latter equation to noncom…
Differential Calculi on Quantum (Sub-) Groups and Their Classical Limit
F. M"uller-Hoissen
For the two-parameter matrix quantum group GLp,q(2) all bicovariant differential calculi (with a four-dimensional space of 1-forms) are known. They form a one-parameter family. Her…