Mastersymmetries and Multi-Hamiltonian Formulations for Some Integrable Lattice Systems

Abstract

Conserved quantities, bi-hamiltonian formulation, recursive structure and hereditary symmetries are obtained for a number of lattice systems with physical significance. Furthermore, for the multisoliton solutions the gradients of the angle variables are given. Apart from the well investigated Toda lattice these systems include: Volterra lattice, lumped Network system, Kac-Moerbeke-Langmuir lattice and a class of Network equations. No use is made of the Lax representation or any other additional information about the equations under consideration. All quantities are found in a purely algorithmic way by use of mastersymmetries.