37 citations · 284 across the 25 of their papers we have counts for
25 papers
A vectorial Darboux transformation for integrable matrix versions of the Fokas-Lenells equation
Folkert Müller-Hoissen, Rusuo Ye
Using bidifferential calculus, we derive a vectorial binary Darboux transformation for an integrable matrix version of the first negative flow of the Kaup-Newell hierarchy. A reduc…
On the Lorenzoni-Magri hierarchy of hydrodynamic type
Folkert Müller-Hoissen
In 2005 Lorenzoni and Magri showed that a hydrodynamic-type hierarchy determined by the powers of a type (1,1) tensor field (on a smooth manifold) with vanishing Nijenhuis torsion…
Obituary: Aristophanes Dimakis
Folkert Müller-Hoissen
The theoretical physicist and mathematician Aristophanes Dimakis passed away on July 8, 2021, at the age of 68, in Athens, Greece. We briefly review his life, career and scientific…
Matrix KP: tropical limit, Yang-Baxter and pentagon maps
Aristophanes Dimakis, Folkert Müller-Hoissen
In the tropical limit of matrix KP-II solitons, their support at fixed time is a planar graph with "polarizations" attached to its linear parts. In this work we explore a subclass…
Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
Aristophanes Dimakis, Folkert Müller-Hoissen
We present a general solution-generating result within the bidifferential calculus approach to integrable partial differential and difference equations, based on a binary Darboux-t…
Quasi-symmetric functions and the KP hierarchy
Aristophanes Dimakis, Folkert Muller-Hoissen
Quasi-symmetric functions show up in an approach to solve the Kadomtsev-Petviashvili (KP) hierarchy. This moreover features a new nonassociative product of quasi-symmetric function…