29 citations · 32 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…