13 citations · 13 across the 1 of their papers we have counts for
8 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…
Moyal Deformation, Seiberg-Witten-Map, and Integrable Models
Aristophanes Dimakis, Folkert Muller-Hoissen
A covariant formalism for Moyal deformations of gauge theory and differential equations which determine Seiberg-Witten maps is presented. Replacing the ordinary product of function…
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…
Noncommutative Geometry and Integrable Models
A. Dimakis, F. Mueller-Hoissen
A construction of conservation laws for -models in two dimensions is generalized in the framework of noncommutative geometry of commutative algebras. This is done by replacing t…