14 citations · 46 across the 6 of their papers we have counts for
6 papers
Trigonometric real form of the spin RS model of Krichever and Zabrodin
M. Fairon, L. Feher, I. Marshall
We investigate the trigonometric real form of the spin Ruijsenaars-Schneider system introduced, at the level of equations of motion, by Krichever and Zabrodin in 1995. This pioneer…
The action-angle dual of an integrable Hamiltonian system of Ruijsenaars--Schneider--van Diejen type
L. Feher, I. Marshall
Integrable deformations of the hyperbolic and trigonometric Sutherland models were recently derived via Hamiltonian reduction of certain free systems on the Heise…
Comparison of Poisson structures and Poisson-Lie dynamical r-matrices
B. Enriquez, P. Etingof, I. Marshall
We construct a Poisson isomorphism between the formal Poisson manifolds g^* and G^*, where g is a finite dimensional quasitriangular Lie bialgebra. Here g^* is equipped with its Li…
The non-Abelian momentum map for Poisson-Lie symmetries on the chiral WZNW phase space
L. Feher, I. Marshall
The gauge action of the Lie group on the chiral WZNW phase space of quasiperiodic fields with -valued monodromy, where is an…
On a Poisson-Lie analogue of the classical dynamical Yang-Baxter equation for self-dual Lie algebras
L. Feher, I. Marshall
We derive a generalization of the classical dynamical Yang-Baxter equation (CDYBE) on a self-dual Lie algebra by replacing the cotangent bundle T^*G in a geometric interpr…
Stability analysis of some integrable Euler equations for SO(n)
L. Feher, I. Marshall
A family of special cases of the integrable Euler equations on introduced by Manakov in 1976 is considered. The equilibrium points are found and their stability is studied.…