19 citations · 69 across the 11 of their papers we have counts for
11 papers
Frölicher-Nijenhuis geometry and integrable matrix PDE systems
Folkert Müller-Hoissen
Given two tensor fields of type (1,1) on a smooth n-dimensional manifold M, such that all their Frölicher-Nijenhuis brackets vanish, the algebra of differential forms on M becomes…
Tropical limit of matrix solitons and entwining Yang-Baxter maps
Aristophanes Dimakis, Folkert Müller-Hoissen
We consider a matrix refactorization problem, i.e., a "Lax representation", for the Yang-Baxter map that originated as the map of polarizations from the "pure" 2-soliton solution o…
Matrix Boussinesq solitons and their tropical limit
Aristophanes Dimakis, Folkert Müller-Hoissen, Xiao-Min Chen
We study soliton solutions of matrix "good" Boussinesq equations, generated via a binary Darboux transformation. Essential features of these solutions are revealed via their "tropi…
BKP and CKP revisited: The odd KP system
Aristophanes Dimakis, Folkert Muller-Hoissen
Restricting a linear system for the KP hierarchy to those independent variables t\_n with odd n, its compatibility (Zakharov-Shabat conditions) leads to the "odd KP hierarchy". The…
Dispersionless limit of the noncommutative potential KP hierarchy and solutions of the pseudodual chiral model in 2+1 dimensions
Aristophanes Dimakis, Folkert Muller-Hoissen
The usual dispersionless limit of the KP hierarchy does not work in the case where the dependent variable has values in a noncommutative (e.g. matrix) algebra. Passing over to the…
A new approach to deformation equations of noncommutative KP hierarchies
Aristophanes Dimakis, Folkert Muller-Hoissen
Partly inspired by Sato's theory of the Kadomtsev-Petviashvili (KP) hierarchy, we start with a quite general hierarchy of linear ordinary differential equations in a space of matri…