72 citations · 199 across the 8 of their papers we have counts for
8 papers
Integrable non-abelization of the flow on an elliptic curve
V. Sokolov, T. Wolf
An integrable non-abelian generalization of a Hamiltonian flow on an elliptic curve is presented. A Lax pair for this non-abelian system is found.
Non-commutative generalization of integrable quadratic ODE systems
V. Sokolov, T. Wolf
We find all homogeneous quadratic systems of ODEs with two dependent variables that have polynomial first integrals and satisfy the Kowalevski-Lyapunov test. Such systems have infi…
Computing symmetries and recursion operators of evolutionary super-systems using the SsTools environment
Arthemy V. Kiselev, Andrey O. Krutov, Thomas Wolf
At a very informal but practically convenient level, we discuss the step-by-step computation of nonlocal recursions for symmetry algebras of nonlinear coupled boson-fermion s…
The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws
Marianna Euler, Norbert Euler, Thomas Wolf
Recently, Holm and Ivanov, proposed and studied a class of multi-component generalisations of the Camassa-Holm equations [D D Holm and R I Ivanov, Multi-component generalizations o…
On integrability of the Kontsevich non-abelian ODE system
Thomas Wolf, Olga Efimovskaya
We consider systems of ODEs with the right hand side being Laurent polynomials in several non-commutative unknowns. In particular, these unknowns could be matrices of arbitrary siz…
generating technique for minimal D=5 supergravity and black rings
Adel Bouchareb, Chiang-Mei Chen, Gerard Clement +3
A solution generating technique is developed for D=5 minimal supergravity with two commuting Killing vectors based on the U-duality arising in the reduction of the theory to…