Abstract

 

Noether and Master Symmetries for the Toda Lattice

P.Damianou, C.Sophocleous (University of Cyprus, Nicosia, Cyprus)

e-mail: damianou@ucy.ac.cy

In this paper we examine the interelation between  Noether symmetries, master symmetries and recursion operators for a well-known classical mechanical system, the Toda lattice. Topics include, invariants, higher Poisson brackets and various relations they satisfy. These results may be used for other integrable systems as well.

 

Section : 12