13 citations · 17 across the 2 of their papers we have counts for
7 papers
On the Structure of Set-Theoretic Polygon Equations
Folkert Müller-Hoissen
Polygon equations generalize the prominent pentagon equation in very much the same way as simplex equations generalize the famous Yang-Baxter equation. In particular, they appeared…
A vectorial binary Darboux transformation of the first member of the negative part of the AKNS hierarchy
Folkert Müller-Hoissen
Using bidifferential calculus, we derive a vectorial binary Darboux transformation for the first member of the "negative" part of the AKNS hierarchy. A reduction leads to the first…
Differential Calculi on Associative Algebras and Integrable Systems
Aristophanes Dimakis, Folkert Müller-Hoissen
After an introduction to some aspects of bidifferential calculus on associative algebras, we focus on the notion of a "symmetry" of a generalized zero curvature equation and derive…
Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants
Xiao-Min Chen, Xing-Biao Hu, Folkert Müller-Hoissen
For the first two equations of the Volterra lattice hierarchy and the first two equations of its non-autonomous (non-isospectral) extension, we present Riccati systems for function…
Matrix KP: tropical limit and Yang-Baxter maps
Aristophanes Dimakis, Folkert Müller-Hoissen
We study soliton solutions of matrix Kadomtsev-Petviashvili (KP) equations in a tropical limit, in which their support at fixed time is a planar graph and polarizations are attache…
NLS breathers, rogue waves, and solutions of the Lyapunov equation for Jordan blocks
Oleksandr Chvartatskyi, Folkert Müller-Hoissen
The infinite families of Peregrine, Akhmediev and Kuznetsov-Ma breather solutions of the focusing Nonlinear Schroedinger (NLS) equation are obtained via a matrix version of the Dar…