Quasi-bi-Hamiltonian systems and separability

C Morosi, G Tondo
1997 Journal of Physics A: Mathematical and General  
Two quasi--biHamiltonian systems with three and four degrees of freedom are presented. These systems are shown to be separable in terms of Nijenhuis coordinates. Moreover the most general Pfaffian quasi-biHamiltonian system with an arbitrary number of degrees of freedom is constructed (in terms of Nijenhuis coordinates) and its separability is proved.
doi:10.1088/0305-4470/30/8/023 fatcat:x7a6ko6nizdsjanzqiwc2kdpkq