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This article is cited in 2 scientific papers (total in 2 papers)
Original papers
On an integrable system on the plane with velocity-dependent potential
Yu. A. Grigor'ev, A. P. Sozonov, A. V. Tsiganov Saint-Petersburg State University,
Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia
Abstract:
We discuss an algorithmic construction of the auto Bäcklund transformations of Hamilton–Jacobi equations and possible applications of this algorithm to finding new integrable systems with integrals of motion of higher order in momenta. We explicitly present Bäcklund transformations for two Hamiltonian systems on the plane separable in parabolic and elliptic coordinates.
Keywords:
integrable systems, separation of variables, velocity-dependent potentials.
Received: 06.06.2016 Accepted: 25.06.2016
Citation:
Yu. A. Grigor'ev, A. P. Sozonov, A. V. Tsiganov, “On an integrable system on the plane with velocity-dependent potential”, Nelin. Dinam., 12:3 (2016), 355–367
Linking options:
https://www.mathnet.ru/eng/nd532 https://www.mathnet.ru/eng/nd/v12/i3/p355
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Abstract page: | 197 | Full-text PDF : | 56 | References: | 32 |
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