New bi-Hamiltonian systems on the plane

Abstract

We discuss several new bi-Hamiltonian integrable systems on the plane with integrals of motion of third, fourth and sixth order in momenta. The corresponding variables of separation, separated relations, compatible Poisson brackets and recursion operators are also presented in the framework of the Jacobi method.

15 pages, LaTeX with AMS fonts, corrected typos

References in corpus (1)

• Simultaneous separation for the Neumann and Chaplygin systems

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