29 citations · 32 across the 5 of their papers we have counts for
5 papers
A symplectic realization of the Volterra lattice
M. A. Agrotis, P. A. Damianou, G. Marmo
We examine the multiple Hamiltonian structure and construct a symplectic realization of the Volterra model. We rediscover the hierarchy of invariants, Poisson brackets and master s…
The modular hierarchy of the Toda lattice
Maria A. Agrotis, Pantelis A. Damianou
The modular vector field plays an important role in the theory of Poisson manifolds and is intimately connected with the Poisson cohomology of the space. In this paper we investiga…
Prolongation Loop Algebras for a Solitonic System of Equations
Maria A. Agrotis
We consider an integrable system of reduced Maxwell-Bloch equations that describes the evolution of an electromagnetic field in a two-level medium that is inhomogeneously broadened…
Volterra's realization of the KM-system
M. A. Agrotis, P. A. Damianou
We construct a symplectic realization of the KM-system and obtain the higher order Poisson tensors and commuting flows via the use of a recursion operator. This is achieved by doub…
The Toda lattice is super-integrable
M. Agrotis, P. A. Damianou, C. Sophocleous
We prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2N-1 independent constants of motion, where N is the number of…