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Bäcklund transformations relating different Hamilton-Jacobi equations. / Sozonov, A. P.; Tsiganov, A. V.

In: Theoretical and Mathematical Physics, Vol. 183, No. 3, 2015, p. 768-781.

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Harvard

Sozonov, AP & Tsiganov, AV 2015, 'Bäcklund transformations relating different Hamilton-Jacobi equations', Theoretical and Mathematical Physics, vol. 183, no. 3, pp. 768-781. https://doi.org/10.1007/s11232-015-0295-x

APA

Sozonov, A. P., & Tsiganov, A. V. (2015). Bäcklund transformations relating different Hamilton-Jacobi equations. Theoretical and Mathematical Physics, 183(3), 768-781. https://doi.org/10.1007/s11232-015-0295-x

Vancouver

Sozonov AP, Tsiganov AV. Bäcklund transformations relating different Hamilton-Jacobi equations. Theoretical and Mathematical Physics. 2015;183(3):768-781. https://doi.org/10.1007/s11232-015-0295-x

Author

Sozonov, A. P. ; Tsiganov, A. V. / Bäcklund transformations relating different Hamilton-Jacobi equations. In: Theoretical and Mathematical Physics. 2015 ; Vol. 183, No. 3. pp. 768-781.

BibTeX

@article{9cd2655614304935a7f9af2b26956d24,
title = "B{\"a}cklund transformations relating different Hamilton-Jacobi equations",
abstract = "We discuss one of the possible finite-dimensional analogues of the general Backlund transformation relating different partial differential equations. We show that different Hamilton-Jacobi equations can be obtained from the same Lax matrix. We consider Henon-Heiles systems on the plane, Neumann and Chaplygin systems on the sphere, and two integrable systems with velocity-dependent potentials as examples.",
author = "Sozonov, {A. P.} and Tsiganov, {A. V.}",
year = "2015",
doi = "10.1007/s11232-015-0295-x",
language = "English",
volume = "183",
pages = "768--781",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Bäcklund transformations relating different Hamilton-Jacobi equations

AU - Sozonov, A. P.

AU - Tsiganov, A. V.

PY - 2015

Y1 - 2015

N2 - We discuss one of the possible finite-dimensional analogues of the general Backlund transformation relating different partial differential equations. We show that different Hamilton-Jacobi equations can be obtained from the same Lax matrix. We consider Henon-Heiles systems on the plane, Neumann and Chaplygin systems on the sphere, and two integrable systems with velocity-dependent potentials as examples.

AB - We discuss one of the possible finite-dimensional analogues of the general Backlund transformation relating different partial differential equations. We show that different Hamilton-Jacobi equations can be obtained from the same Lax matrix. We consider Henon-Heiles systems on the plane, Neumann and Chaplygin systems on the sphere, and two integrable systems with velocity-dependent potentials as examples.

U2 - 10.1007/s11232-015-0295-x

DO - 10.1007/s11232-015-0295-x

M3 - Article

VL - 183

SP - 768

EP - 781

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 4029131