13 citations · 13 across the 1 of their papers we have counts for
5 papers
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…
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…
Bicomplexes and finite Toda lattices
Aristophanes Dimakis, Folkert Muller-Hoissen
We associate bicomplexes with the finite Toda lattice and with a finite Toda field theory in such a way that conserved currents and charges are obtained by a simple iterative const…
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…