26500 Patras, Greece
Department of Mathematics, University of Patras
Damianou P. A., Papageorgiou V. G.
On an Integrable Case of Kozlov–Treshchev Birkhoff Integrable Potentials
2007, vol. 12, no. 2, pp. 160-171
We establish, using a new approach, the integrability of a particular case in the Kozlov–Treshchev classification of Birkhoff integrable Hamiltonian systems. The technique used is a modification of the so called quadratic Lax pair for $D_n$ Toda lattice combined with a method used by M. Ranada in proving the integrability of the Sklyanin case.