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TWO INTEGRABLE SYSTEMS WITH INTEGRALS OF MOTION OF DEGREE FOUR. / Tsiganov, A. V.

In: Theoretical and Mathematical Physics, Vol. 186, No. 3, 03.2016, p. 383-394.

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

Harvard

Tsiganov, AV 2016, 'TWO INTEGRABLE SYSTEMS WITH INTEGRALS OF MOTION OF DEGREE FOUR', Theoretical and Mathematical Physics, vol. 186, no. 3, pp. 383-394. https://doi.org/10.1134/S0040577916030077

APA

Tsiganov, A. V. (2016). TWO INTEGRABLE SYSTEMS WITH INTEGRALS OF MOTION OF DEGREE FOUR. Theoretical and Mathematical Physics, 186(3), 383-394. https://doi.org/10.1134/S0040577916030077

Vancouver

Tsiganov AV. TWO INTEGRABLE SYSTEMS WITH INTEGRALS OF MOTION OF DEGREE FOUR. Theoretical and Mathematical Physics. 2016 Mar;186(3):383-394. https://doi.org/10.1134/S0040577916030077

Author

Tsiganov, A. V. / TWO INTEGRABLE SYSTEMS WITH INTEGRALS OF MOTION OF DEGREE FOUR. In: Theoretical and Mathematical Physics. 2016 ; Vol. 186, No. 3. pp. 383-394.

BibTeX

@article{ab650b6aaa864da5a76e3fdd293fa254,
title = "TWO INTEGRABLE SYSTEMS WITH INTEGRALS OF MOTION OF DEGREE FOUR",
abstract = "We discuss the possibility of using second-order Killing tensors to construct Liouville-integrable Hamiltonian systems that are not Nijenhuis integrable. As an example, we consider two Killing tensors with a nonzero Haantjes torsion that satisfy weaker geometric conditions and also three-dimensional systems corresponding to them that are integrable in Euclidean space and have two quadratic integrals of motion and one fourth-order integral in momenta.",
keywords = "Hamilton-Jacobi equation, separation of variables, Killing tensor, HAMILTON-JACOBI, RIEMANNIAN-MANIFOLDS, VARIABLE SEPARATION, EQUATIONS, TENSORS",
author = "Tsiganov, {A. V.}",
year = "2016",
month = mar,
doi = "10.1134/S0040577916030077",
language = "Английский",
volume = "186",
pages = "383--394",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - TWO INTEGRABLE SYSTEMS WITH INTEGRALS OF MOTION OF DEGREE FOUR

AU - Tsiganov, A. V.

PY - 2016/3

Y1 - 2016/3

N2 - We discuss the possibility of using second-order Killing tensors to construct Liouville-integrable Hamiltonian systems that are not Nijenhuis integrable. As an example, we consider two Killing tensors with a nonzero Haantjes torsion that satisfy weaker geometric conditions and also three-dimensional systems corresponding to them that are integrable in Euclidean space and have two quadratic integrals of motion and one fourth-order integral in momenta.

AB - We discuss the possibility of using second-order Killing tensors to construct Liouville-integrable Hamiltonian systems that are not Nijenhuis integrable. As an example, we consider two Killing tensors with a nonzero Haantjes torsion that satisfy weaker geometric conditions and also three-dimensional systems corresponding to them that are integrable in Euclidean space and have two quadratic integrals of motion and one fourth-order integral in momenta.

KW - Hamilton-Jacobi equation

KW - separation of variables

KW - Killing tensor

KW - HAMILTON-JACOBI

KW - RIEMANNIAN-MANIFOLDS

KW - VARIABLE SEPARATION

KW - EQUATIONS

KW - TENSORS

U2 - 10.1134/S0040577916030077

DO - 10.1134/S0040577916030077

M3 - статья

VL - 186

SP - 383

EP - 394

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 10357881