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On an integrable system on the plane with velocity-dependent potential. / Grigoryev, Yuri A.; Sozonov, Alexey P.; Tsiganov, Andrey V.

в: Nelineinaya Dinamika, Том 12, № 3, 2016, стр. 355-367.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Grigoryev, YA, Sozonov, AP & Tsiganov, AV 2016, 'On an integrable system on the plane with velocity-dependent potential', Nelineinaya Dinamika, Том. 12, № 3, стр. 355-367. https://doi.org/10.20537/nd1603005

APA

Grigoryev, Y. A., Sozonov, A. P., & Tsiganov, A. V. (2016). On an integrable system on the plane with velocity-dependent potential. Nelineinaya Dinamika, 12(3), 355-367. https://doi.org/10.20537/nd1603005

Vancouver

Grigoryev YA, Sozonov AP, Tsiganov AV. On an integrable system on the plane with velocity-dependent potential. Nelineinaya Dinamika. 2016;12(3):355-367. https://doi.org/10.20537/nd1603005

Author

Grigoryev, Yuri A. ; Sozonov, Alexey P. ; Tsiganov, Andrey V. / On an integrable system on the plane with velocity-dependent potential. в: Nelineinaya Dinamika. 2016 ; Том 12, № 3. стр. 355-367.

BibTeX

@article{33d7f3cb9dd740af8dfccca1a0bc58d8,
title = "On an integrable system on the plane with velocity-dependent potential",
abstract = "We discuss an algorithmic construction of the auto Backlund transformations of Hamilton - Jacoby equations and possible applications of this algorithm to finding new integrable systems with integrals of motion of higher order in momenta. We explicitly present Backlund transformations for two Hamiltonian systems on the plane separable in parabolic and elliptic coordinates.",
keywords = "Integrable systems, Separation of variables, Velocity-dependent potentials",
author = "Grigoryev, {Yuri A.} and Sozonov, {Alexey P.} and Tsiganov, {Andrey V.}",
year = "2016",
doi = "10.20537/nd1603005",
language = "English",
volume = "12",
pages = "355--367",
journal = "Russian Journal of Nonlinear Dynamics",
issn = "2658-5324",
publisher = "Institute of Computer Science",
number = "3",

}

RIS

TY - JOUR

T1 - On an integrable system on the plane with velocity-dependent potential

AU - Grigoryev, Yuri A.

AU - Sozonov, Alexey P.

AU - Tsiganov, Andrey V.

PY - 2016

Y1 - 2016

N2 - We discuss an algorithmic construction of the auto Backlund transformations of Hamilton - Jacoby equations and possible applications of this algorithm to finding new integrable systems with integrals of motion of higher order in momenta. We explicitly present Backlund transformations for two Hamiltonian systems on the plane separable in parabolic and elliptic coordinates.

AB - We discuss an algorithmic construction of the auto Backlund transformations of Hamilton - Jacoby equations and possible applications of this algorithm to finding new integrable systems with integrals of motion of higher order in momenta. We explicitly present Backlund transformations for two Hamiltonian systems on the plane separable in parabolic and elliptic coordinates.

KW - Integrable systems

KW - Separation of variables

KW - Velocity-dependent potentials

UR - http://www.scopus.com/inward/record.url?scp=84994479875&partnerID=8YFLogxK

U2 - 10.20537/nd1603005

DO - 10.20537/nd1603005

M3 - Article

AN - SCOPUS:84994479875

VL - 12

SP - 355

EP - 367

JO - Russian Journal of Nonlinear Dynamics

JF - Russian Journal of Nonlinear Dynamics

SN - 2658-5324

IS - 3

ER -

ID: 18305433