Trigonometric Integrable Tops from Solutions of Associative Yang–Baxter Equation-Reference-Cited by-同舟云学术

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Trigonometric Integrable Tops from Solutions of Associative Yang–Baxter Equation

Published:2019-06-08 Issue:8 Volume:20 Page:2671-2697
ISSN:1424-0637
Container-title:Annales Henri Poincaré
language:en
Short-container-title:Ann. Henri Poincaré

Author:

Krasnov T.,Zotov A.^ORCID

Funder

Russian Foundation for Basic Research

Russian Academic Excellence Project ‘5-100’

Russian Academy of Sciences program “Nonlinear dynamics: fundamental problems and applications”

Young Russian Mathematics award

HSE University Basic Research Program

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00023-019-00815-1.pdf

Reference48 articles.

1. Arnold, V.I.: Sur la geometrie differentielle des groupes de Lie de dimension infinie et ses applications a l’hydrodynamique des fluides parfaits. Annales de l’institut Fourier 16(1), 319–361 (1966)

2. Dikii, L.A.: Hamiltonian systems connected with the rotation group. Funct. Anal. Appl. 6(4), 326–327 (1972)

3. Manakov, S.V.: Note on the integration of Euler’s equations of the dynamics of an n-dimensional rigid body. Funct. Anal. Appl. 10(4), 328–329 (1976)

4. Mishenko, A.S.: Integral geodesics of a flow on Lie groups. Funct. Anal. Appl. 4(3), 232–235 (1970)

5. Mishenko, A.S., Fomenko, A.T.: Euler equation on finite-dimensional Lie groups. Math. USSR-Izvestiya 12(2), 371–389 (1978)

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