33 citations · 86 across the 4 of their papers we have counts for
5 papers
'Riemann Equations' in Bidifferential Calculus
Oleksandr Chvartatskyi, Folkert Mueller-Hoissen, Nikola Stoilov
We consider equations that formally resemble a matrix Riemann (or Hopf) equation in the framework of bidifferential calculus. With different choices of a first-order bidifferential…
Bidifferential calculus, matrix SIT and sine-Gordon equations
Aristophanes Dimakis, Nils Kanning, Folkert Mueller-Hoissen
We express a matrix version of the self-induced transparency (SIT) equations in the bidifferential calculus framework. An infinite family of exact solutions is then obtained by app…
Bicomplexes, Integrable Models, and Noncommutative Geometry
Aristophanes Dimakis, Folkert Muller-Hoissen
We discuss a relation between bicomplexes and integrable models, and consider corresponding noncommutative (Moyal) deformations. As an example, a noncommutative version of a Toda f…
Integrable Discretizations of Chiral Models
A. Dimakis, F. Mueller-Hoissen
A construction of conservation laws for chiral models (generalized sigma-models on a two-dimensional space-time continuum using differential forms is extended in such a way that it…
Umbral Calculus, Discretization, and Quantum Mechanics on a Lattice
A. Dimakis, F. Mueller-Hoissen, T. Striker
`Umbral calculus' deals with representations of the canonical commutation relations. We present a short exposition of it and discuss how this calculus can be used to discretize con…