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Isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds e(3) and so(4). / Tsiganov, A. V.

In: Journal of Mathematical Sciences, Vol. 136, No. 1, 01.07.2006, p. 3641-3647.

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

Harvard

Tsiganov, AV 2006, 'Isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds e(3) and so(4)', Journal of Mathematical Sciences, vol. 136, no. 1, pp. 3641-3647. https://doi.org/10.1007/s10958-006-0188-5

APA

Tsiganov, A. V. (2006). Isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds e(3) and so(4). Journal of Mathematical Sciences, 136(1), 3641-3647. https://doi.org/10.1007/s10958-006-0188-5

Vancouver

Tsiganov AV. Isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds e(3) and so(4). Journal of Mathematical Sciences. 2006 Jul 1;136(1):3641-3647. https://doi.org/10.1007/s10958-006-0188-5

Author

Tsiganov, A. V. / Isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds e(3) and so(4). In: Journal of Mathematical Sciences. 2006 ; Vol. 136, No. 1. pp. 3641-3647.

BibTeX

@article{dc0230596c8440eeaf8c3e46ef2d8af2,
title = "Isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds e(3) and so(4)",
abstract = "We consider Poisson maps between the Clebsch model and Schottky system, two Steklov systems, Kowalevski top, and Neumann system. We prove that these noncanonical transformations of variables are twisted Poisson maps, which completely define the corresponding pairs of integrable systems. Bibliography: 14 titles.",
author = "Tsiganov, {A. V.}",
year = "2006",
month = jul,
day = "1",
doi = "10.1007/s10958-006-0188-5",
language = "English",
volume = "136",
pages = "3641--3647",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds e(3) and so(4)

AU - Tsiganov, A. V.

PY - 2006/7/1

Y1 - 2006/7/1

N2 - We consider Poisson maps between the Clebsch model and Schottky system, two Steklov systems, Kowalevski top, and Neumann system. We prove that these noncanonical transformations of variables are twisted Poisson maps, which completely define the corresponding pairs of integrable systems. Bibliography: 14 titles.

AB - We consider Poisson maps between the Clebsch model and Schottky system, two Steklov systems, Kowalevski top, and Neumann system. We prove that these noncanonical transformations of variables are twisted Poisson maps, which completely define the corresponding pairs of integrable systems. Bibliography: 14 titles.

UR - http://www.scopus.com/inward/record.url?scp=33744821406&partnerID=8YFLogxK

U2 - 10.1007/s10958-006-0188-5

DO - 10.1007/s10958-006-0188-5

M3 - Article

VL - 136

SP - 3641

EP - 3647

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 5010873