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Original papers
On an integrable system on a plane with an integral of motion of sixth order in momenta
A. V. Tsiganov Saint-Petersburg State University,
Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia
Abstract:
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.
Keywords:
finite-dimensional integrable systems, separation of variables, Bäcklund transformations.
Received: 19.10.2016 Accepted: 28.12.2016
Citation:
A. V. Tsiganov, “On an integrable system on a plane with an integral of motion of sixth order in momenta”, Nelin. Dinam., 13:1 (2017), 117–127
Linking options:
https://www.mathnet.ru/eng/nd554 https://www.mathnet.ru/eng/nd/v13/i1/p117
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Statistics & downloads: |
Abstract page: | 218 | Full-text PDF : | 59 | References: | 43 |
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