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Trudy Matematicheskogo Instituta im. V. A. Steklova, 1984, Volume 165, Pages 49–61 (Mi tm2271)  

This article is cited in 20 scientific papers (total in 21 papers)

Poisson brackets and complex tori

A. P. Veselov, S. P. Novikov
Bibliographic databases:
Document Type: Article
UDC: 531.314+514.12 4
Language: Russian
Citation: A. P. Veselov, S. P. Novikov, “Poisson brackets and complex tori”, Algebraic geometry and its applications, Collection of articles, Trudy Mat. Inst. Steklov., 165, 1984, 49–61; Proc. Steklov Inst. Math., 165 (1985), 53–65
Citation in format AMSBIB
\Bibitem{VesNov84}
\by A.~P.~Veselov, S.~P.~Novikov
\paper Poisson brackets and complex tori
\inbook Algebraic geometry and its applications
\bookinfo Collection of articles
\serial Trudy Mat. Inst. Steklov.
\yr 1984
\vol 165
\pages 49--61
\mathnet{http://mi.mathnet.ru/tm2271}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=752932}
\zmath{https://zbmath.org/?q=an:0565.58022|0581.58017}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1985
\vol 165
\pages 53--65
Linking options:
  • https://www.mathnet.ru/eng/tm2271
  • https://www.mathnet.ru/eng/tm/v165/p49
  • This publication is cited in the following 21 articles:
    1. Borisov A. Mamaev I., “Rigid Body Dynamics”, Rigid Body Dynamics, de Gruyter Studies in Mathematical Physics, 52, Walter de Gruyter Gmbh, 2019, 1–520  mathscinet  isi
    2. M. V. Babich, “Birational Darboux Coordinates on (Co)Adjoint Orbits of GL(N,C)”, Funct. Anal. Appl., 50:1 (2016), 17–30  mathnet  crossref  crossref  mathscinet  isi  elib
    3. V. E. Adler, Yu. Yu. Berest, V. M. Buchstaber, P. G. Grinevich, B. A. Dubrovin, I. M. Krichever, S. P. Novikov, A. N. Sergeev, M. V. Feigin, J. Felder, E. V. Ferapontov, O. A. Chalykh, P. I. Etingof, “Alexander Petrovich Veselov (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1159–1176  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. M. V. Babich, S. E. Derkachov, “On rational symplectic parametrization of the coadjoint orbit of GL(N). Diagonalizable case”, St. Petersburg Math. J., 22:3 (2011), 347–357  mathnet  crossref  mathscinet  zmath  isi
    5. Gregorio Falqui, “A Note on the Rotationally Symmetric SO(4) Euler Rigid Body”, SIGMA, 3 (2007), 032, 13 pp.  mathnet  crossref  mathscinet  zmath
    6. Kanehisa Takasaki, “Hamiltonian Structure of PI Hierarchy”, SIGMA, 3 (2007), 042, 32 pp.  mathnet  crossref  mathscinet  zmath
    7. Bernatska J., Holod P., “On separation of variables for integrable equations of soliton type”, Journal of Nonlinear Mathematical Physics, 14:3 (2007), 345–366  crossref  isi
    8. Dubrovin B., Mazzocco M., “Canonical structure and symmetries of the Schlesinger equations”, Communications in Mathematical Physics, 271:2 (2007), 289–373  crossref  isi
    9. Jacques Hurtubise, “Separation of Variables and the Geometry of Jacobians”, SIGMA, 3 (2007), 017, 14 pp.  mathnet  crossref  mathscinet  zmath
    10. Vaninsky K.L., “The Atiyah–Hitchin bracket and the cubic nonlinear Schrodinger equation”, International Mathematics Research Papers, 2006, 17683  isi
    11. Penskoi A.V., “Canonically conjugate variables for the periodic Camassa–Hohn equation”, Nonlinearity, 18:1 (2005), 415–421  crossref  isi
    12. A. M. Perelomov, “Kovalevskaya Top: An Elementary Approach”, Theoret. and Math. Phys., 131:2 (2002), 612–620  mathnet  crossref  crossref  mathscinet  zmath  isi
    13. Komarov I.V., “Remarks on Kowalevski's top”, Journal of Physics A–Mathematical and General, 34:11 (2001), 2111–2120  crossref  isi
    14. Veselov A.P., Penskoi A.V., “Algebro–geometric Poisson brackets for difference operators and the Volterra lattice”, Doklady Akademii Nauk, 366:3 (1999), 299–303  mathnet  isi
    15. A. V. Tsiganov, “Homogeneous Stäckel-type systems”, Theoret. and Math. Phys., 115:1 (1998), 377–395  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    16. McKean H.P., Vaninsky K.L., “Action–angle variables for the cubic Schrodinger equation”, Communications on Pure and Applied Mathematics, 50:6 (1997), 489–562  crossref  isi
    17. Dullin H.R., Juhnke M., Richter P.H., “Action Integrals and Energy Surfaces of the Kovalevskaya TOP”, International Journal of Bifurcation and Chaos, 4:6 (1994), 1535–1562  crossref  isi
    18. B. A. Dubrovin, S. P. Novikov, “Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory”, Russian Math. Surveys, 44:6 (1989), 35–124  mathnet  crossref  mathscinet  zmath  adsnasa
    19. Bobenko A.I., Reyman A.G., Semenovtianshansky M.A., “The Kowalewski TOP 99 Years Later – a Lax pair, Generalizations and Explicit Solutions”, Communications in Mathematical Physics, 122:2 (1989), 321–354  crossref  isi
    20. Veselov A.P., “On Time Substitution in Integrable Systems”, Vestnik Moskovskogo Universiteta Seriya 1 Matematika Mekhanika, 1987, no. 5, 25–29  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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