Browsing by Subject "Master symmetries"

Now showing items 1-4 of 4

    • Article  

      Multiple Hamiltonian structure of Bogoyavlensky-Toda lattices 

      Damianou, Pantelis A. (2004)
      This paper is mainly a review of the multi-Hamiltonian nature of Toda and generalized Toda lattices corresponding to the classical simple Lie groups but it includes also some new results. The areas investigated include ...
    • Article  

      The negative relativistic toda hierarchy and rational poisson brackets 

      da Costa, J. M. N.; Damianou, Pantelis A. (2004)
      We define hierarchies for negative values of the index of Poisson tensors, master symmetries and Hamiltonians for the finite, nonperiodic, relativistic Toda lattice. We show that the usual relations between master symmetries, ...
    • Article  

      The negative Toda hierarchy and rational Poisson brackets 

      Damianou, Pantelis A. (2003)
      In this paper we extend the usual hierarchies for the finite, nonperiodic Toda lattice for negative values of the index. We define an infinite sequence of rational homogeneous Poisson brackets, master symmetries, invariants ...
    • Article  

      Noether and master symmetries for the Toda lattice 

      Damianou, Pantelis A.; Sophocleous, Christodoulos (2005)
      In this letter we examine the interrelation between Noether symmetries, master symmetries and recursion operators for the Toda lattice. The topics include invariants, higher Poisson brackets and the various relations they ...