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Funktsional'nyi Analiz i ego Prilozheniya, 1988, Volume 22, Issue 4, Pages 92–93 (Mi faa1164)  

This article is cited in 39 scientific papers (total in 39 papers)

Brief communications

Dubrovin–Novikov type Poisson brackets (DN-brackets)

O. I. Mokhov
References:
Received: 13.05.1987
English version:
Functional Analysis and Its Applications, 1988, Volume 22, Issue 4, Pages 336–338
DOI: https://doi.org/10.1007/BF01077434
Bibliographic databases:
Document Type: Article
UDC: 513.835
Language: Russian
Citation: O. I. Mokhov, “Dubrovin–Novikov type Poisson brackets (DN-brackets)”, Funktsional. Anal. i Prilozhen., 22:4 (1988), 92–93; Funct. Anal. Appl., 22:4 (1988), 336–338
Citation in format AMSBIB
\Bibitem{Mok88}
\by O.~I.~Mokhov
\paper Dubrovin--Novikov type Poisson brackets (DN-brackets)
\jour Funktsional. Anal. i Prilozhen.
\yr 1988
\vol 22
\issue 4
\pages 92--93
\mathnet{http://mi.mathnet.ru/faa1164}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=977008}
\zmath{https://zbmath.org/?q=an:0671.58006}
\transl
\jour Funct. Anal. Appl.
\yr 1988
\vol 22
\issue 4
\pages 336--338
\crossref{https://doi.org/10.1007/BF01077434}
Linking options:
  • https://www.mathnet.ru/eng/faa1164
  • https://www.mathnet.ru/eng/faa/v22/i4/p92
  • This publication is cited in the following 39 articles:
    1. Thibault Bonnemain, Vincent Caudrelier, Benjamin Doyon, “Hamiltonian Formulation and Aspects of Integrability of Generalised Hydrodynamics”, Ann. Henri Poincaré, 2025  crossref
    2. Xin Hu, Matteo Casati, “Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure”, SIGMA, 20 (2024), 081, 17 pp.  mathnet  crossref
    3. A. M. Gagonov, O. I. Mokhov, “On compatible diagonal metrics”, Russian Math. Surveys, 76:6 (2021), 1140–1142  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. Maltsev A.Ya. Novikov S.P., “Poisson Brackets of Hydrodynamic Type and Their Generalizations”, J. Exp. Theor. Phys., 132:4, SI (2021), 645–657  crossref  isi
    5. Ian Strachan, Proceedings of Symposia in Pure Mathematics, 103.1, Integrability, Quantization, and Geometry, 2021, 451  crossref
    6. Blażej M. Szablikowski, “Bi-Hamiltonian Systems in (2+1) and Higher Dimensions Defined by Novikov Algebras”, SIGMA, 15 (2019), 094, 18 pp.  mathnet  crossref
    7. Strachan I.A.B., “A Construction of Multidimensional Dubrovin-Novikov Brackets”, J. Nonlinear Math. Phys., 26:2 (2019), 202–213  crossref  isi
    8. Carlet G. Casati M. Shadrin S., “Normal Forms of Dispersive Scalar Poisson Brackets With Two Independent Variables”, Lett. Math. Phys., 108:10 (2018), 2229–2253  crossref  isi
    9. M. Casati, “Higher-order dispersive deformations of multidimensional Poisson brackets of hydrodynamic type”, Theoret. and Math. Phys., 196:2 (2018), 1129–1149  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    10. Matteo Casati, Daniele Valeri, “MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine W W -algebras”, Boll Unione Mat Ital, 11:4 (2018), 503  crossref
    11. Carlet G. Casati M. Shadrin S., “Poisson cohomology of scalar multidimensional Dubrovin–Novikov brackets”, J. Geom. Phys., 114 (2017), 404–419  crossref  mathscinet  zmath  isi  scopus
    12. Qinxiu Sun, Fang Li, “A generalization of Lie H-pseudo-bialgebras”, Theoret. and Math. Phys., 192:1 (2017), 939–957  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    13. O. I. Mokhov, “Pencils of compatible metrics and integrable systems”, Russian Math. Surveys, 72:5 (2017), 889–937  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    14. Maltsev A.Ya., “On the canonical forms of the multi-dimensional averaged Poisson brackets”, J. Math. Phys., 57:5 (2016), 053501  crossref  mathscinet  zmath  isi  elib  scopus
    15. Alberto Della Vedova, Paolo Lorenzoni, Andrea Savoldi, “Deformations of non-semisimple Poisson pencils of hydrodynamic type”, Nonlinearity, 29:9 (2016), 2715  crossref
    16. Casati M., “On Deformations of Multidimensional Poisson Brackets of Hydrodynamic Type”, Commun. Math. Phys., 335:2 (2015), 851–894  crossref  isi
    17. Ferapontov E.V. Lorenzoni P. Savoldi A., “Hamiltonian Operators of Dubrovin-Novikov Type in 2D”, Lett. Math. Phys., 105:3 (2015), 341–377  crossref  isi
    18. Savoldi A., “Degenerate First-Order Hamiltonian Operators of Hydrodynamic Type in 2D”, J. Phys. A-Math. Theor., 48:26 (2015), 265202  crossref  isi
    19. Pavlov M.V., “Hamiltonian Formalism of Two-Dimensional Vlasov Kinetic Equation”, Proc. R. Soc. A-Math. Phys. Eng. Sci., 470:2172 (2014), 20140343  crossref  isi
    20. Maltsev A.Ya., “The Multi-Dimensional Hamiltonian Structures in the Whitham Method”, J. Math. Phys., 54:5 (2013), 053507  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Функциональный анализ и его приложения Functional Analysis and Its Applications
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