A discrete time relativistic Toda lattice
نویسنده
چکیده
Four integrable symplectic maps approximating two Hamiltonian flows from the relativistic Toda hierarchy are introduced. They are demostrated to belong to the same hierarchy and to examplify the general scheme for symplectic maps on groups equiped with quadratic Poisson brackets. The initial value problem for the difference equations is solved in terms of a factorization problem in a group. Interpolating Hamiltonian flows are found for all the maps.
منابع مشابه
New Integrable Systems Related to the Relativistic Toda Lattice
New integrable lattice systems are introduced, their different integrable discretization are obtained. Bäcklund transformations between these new systems and the relativistic Toda lattice (in the both continuous and discrete time formulations) are established.
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