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Quasi-BiHamiltonian Systems and Separability

C. Morosi, G. Tondo

solv-intarXiv:solv-int/9702006

Abstract

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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