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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 Backlund transformation. We also present separated relations and prove that the corresponding vector field is bi-Hamiltonian.
Original language | English |
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Pages (from-to) | 117-127 |
Number of pages | 11 |
Journal | Nelineinaya Dinamika |
Volume | 13 |
Issue number | 1 |
DOIs | |
State | Published - 2017 |
ID: 18305466