Quasi-BiHamiltonian Systems and Separability

Details Quasi-BiHamiltonian Systems and Separability Quasi-BiHamiltonian Systems and Separability

1997-02-24

arxiv.org/abs/solv-int/9702006v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, AMS-LaTeX 1.1, to appear in J. Phys. A: Math. Gen. (May 1997)

Scientific paper

10.1088/0305-4470/30/8/023

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.

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