Bogoyavlensky-Toda systems of type DN
Ημερομηνία
2003Source
Journal of Physics A: Mathematical and GeneralVolume
36Issue
5Pages
1385-1399Google Scholar check
Metadata
Εμφάνιση πλήρους εγγραφήςΕπιτομή
In this paper we confirm a conjecture of Flaschka which relates the hierarchy of Poisson brackets and master symmetries for the Bogoyavlesky-Toda systems of type Dn with fundamental invariants of the corresponding Lie group. The areas investigated include master symmetries, recursion operators, higher Poisson brackets and invariants. The results are presented both in Flaschka coordinates (a, b) and in the natural (q, p) coordinates.