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On an integrable system on a plane with an integral of motion of sixth order in momenta. / Tsiganov, Andrey V.

In: Nelineinaya Dinamika, Vol. 13, No. 1, 2017, p. 117-127.

Research output: Contribution to journal › Article › peer-review

Harvard

Tsiganov, AV 2017, 'On an integrable system on a plane with an integral of motion of sixth order in momenta', Nelineinaya Dinamika, vol. 13, no. 1, pp. 117-127. https://doi.org/10.20537/nd1701008

APA

Tsiganov, A. V. (2017). On an integrable system on a plane with an integral of motion of sixth order in momenta. Nelineinaya Dinamika, 13(1), 117-127. https://doi.org/10.20537/nd1701008

Vancouver

Tsiganov AV. On an integrable system on a plane with an integral of motion of sixth order in momenta. Nelineinaya Dinamika. 2017;13(1):117-127. https://doi.org/10.20537/nd1701008

Author

Tsiganov, Andrey V. / On an integrable system on a plane with an integral of motion of sixth order in momenta. In: Nelineinaya Dinamika. 2017 ; Vol. 13, No. 1. pp. 117-127.

BibTeX

@article{13ea4e5de94642759c8052f0d38d9c06,
title = "On an integrable system on a plane with an integral of motion of sixth order in momenta",
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 Backlund transformation. We also present separated relations and prove that the corresponding vector field is bi-Hamiltonian.",
keywords = "B{\"a}cklund transformations, Finite-dimensional integrable systems, Separation of variables",
author = "Tsiganov, {Andrey V.}",
year = "2017",
doi = "10.20537/nd1701008",
language = "English",
volume = "13",
pages = "117--127",
journal = "Russian Journal of Nonlinear Dynamics",
issn = "2658-5324",
publisher = "Institute of Computer Science",
number = "1",

}

RIS

TY - JOUR

T1 - On an integrable system on a plane with an integral of motion of sixth order in momenta

AU - Tsiganov, Andrey V.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Bäcklund transformations

KW - Finite-dimensional integrable systems

KW - Separation of variables

UR - http://www.scopus.com/inward/record.url?scp=85017384125&partnerID=8YFLogxK

U2 - 10.20537/nd1701008

DO - 10.20537/nd1701008

M3 - Article

AN - SCOPUS:85017384125

VL - 13

SP - 117

EP - 127

JO - Russian Journal of Nonlinear Dynamics

JF - Russian Journal of Nonlinear Dynamics

SN - 2658-5324

IS - 1

ER -

ID: 18305466