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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
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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