On an integrable system on a plane with an integral of motion of sixth order in momenta
Received 19 October 2016; accepted 23 December 2016
2017, Vol. 13, No. 1, pp. 117-127
Author(s): Tsiganov A. V.
In the framework of the Jacobi method we obtain a new integrable system on the plane with a natural Hamilton function and a second integral of motion which is a polynomial of sixth order in momenta. The corresponding variables of separation are images of usual parabolic coordinates on the plane after a suitable Bäcklund transformation. We also present separated relations and prove that the corresponding vector field is bi-Hamiltonian.
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