Loading [MathJax]/jax/output/SVG/config.js
Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Funktsional'nyi Analiz i ego Prilozheniya, 1976, Volume 10, Issue 4, Pages 30–34 (Mi faa2189)  

This article is cited in 25 scientific papers (total in 27 papers)

Poisson brackets and the kernel of the variational derivative in the formal calculus of variations

I. M. Gel'fand, Yu. I. Manin, M. A. Shubin
References:
Received: 06.05.1976
English version:
Functional Analysis and Its Applications, 1976, Volume 10, Issue 4, Pages 274–278
DOI: https://doi.org/10.1007/BF01076026
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. M. Gel'fand, Yu. I. Manin, M. A. Shubin, “Poisson brackets and the kernel of the variational derivative in the formal calculus of variations”, Funktsional. Anal. i Prilozhen., 10:4 (1976), 30–34; Funct. Anal. Appl., 10:4 (1976), 274–278
Citation in format AMSBIB
\Bibitem{GelManShu76}
\by I.~M.~Gel'fand, Yu.~I.~Manin, M.~A.~Shubin
\paper Poisson brackets and the kernel of the variational derivative in the formal calculus of variations
\jour Funktsional. Anal. i Prilozhen.
\yr 1976
\vol 10
\issue 4
\pages 30--34
\mathnet{http://mi.mathnet.ru/faa2189}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=440612}
\zmath{https://zbmath.org/?q=an:0395.58005|0534.58024}
\transl
\jour Funct. Anal. Appl.
\yr 1976
\vol 10
\issue 4
\pages 274--278
\crossref{https://doi.org/10.1007/BF01076026}
Linking options:
  • https://www.mathnet.ru/eng/faa2189
  • https://www.mathnet.ru/eng/faa/v10/i4/p30
  • This publication is cited in the following 27 articles:
    1. George B. Shabat, “On the 3-generated commutative rings of differential operators”, J Math Sci, 271:5 (2023), 666  crossref
    2. Denis Blackmore, Anatolij K. Prykarpatski, “Dark Equations and Their Light Integrability”, JNMP, 21:3 (2021), 407  crossref
    3. D. Blackmore, A. K. Prykarpatsky, E. Özçağ, K. Soltanov, “Integrability Analysis of a Two-Component Burgers-Type Hierarchy”, Ukr Math J, 67:2 (2015), 167  crossref
    4. Anatolij K. Prykarpatski, Kamal N. Soltanov, Emin Özçağ, “Differential-algebraic approach to constructing representations of commuting differentiations in functional spaces and its application to nonlinear integrable dynamical systems”, Communications in Nonlinear Science and Numerical Simulation, 19:5 (2014), 1644  crossref
    5. D. Blackmore, Ya. A. Prikarpatsky, N. N. Bogolyubov (Jr.), A. K. Prikarpatski, “Integrability of and differential–algebraic structures for spatially 1D hydrodynamical systems of Riemann type”, Chaos Solitons Fractals, 59 (2014), 59–81  mathnet  crossref  isi  scopus
    6. YOUJUN TAN, “TOROIDAL LIE ALGEBRAS AND SOME DIFFERENTIAL EQUATIONS OF TODA TYPE”, J. Algebra Appl., 09:06 (2010), 1015  crossref
    7. Alexander V. Mikhailov, Vladimir S. Novikov, Jing Ping Wang, “On Classification of Integrable Nonevolutionary Equations”, Stud Appl Math, 118:4 (2007), 419  crossref
    8. A. V. Mikhailov, V. V. Sokolov, “Integrable ordinary differential equations on free associative algebras”, Theoret. and Math. Phys., 122:1 (2000), 72–83  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    9. Krichever, I, “Periodic and almost-periodic potentials in inverse problems”, Inverse Problems, 15:6 (1999), R117  isi
    10. O. I. Mokhov, “Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems”, Russian Math. Surveys, 53:3 (1998), 515–622  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    11. A V Mikhailov, R I Yamilov, “Towards classification of -dimensional integrable equations. Integrability conditions I”, J. Phys. A: Math. Gen., 31:31 (1998), 6707  crossref
    12. V. G. Drinfeld, V. A. Iskovskikh, A. I. Kostrikin, A. N. Tyurin, I. R. Shafarevich, “Yurii Ivanovich Manin (on his 60th birthday)”, Russian Math. Surveys, 52:4 (1997), 863–873  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    13. Frank W. Nijhoff, “Linear integral transformations and hierarchies of integrable nonlinear evolution equations”, Physica D: Nonlinear Phenomena, 31:3 (1988), 339  crossref
    14. A. V. Mikhailov, A. B. Shabat, R. I. Yamilov, “The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems”, Russian Math. Surveys, 42:4 (1987), 1–63  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    15. O. I. Mokhov, “On the Hamiltonian property of an arbitrary evolution system on the set of stationary points of its integral”, Math. USSR-Izv., 31:3 (1988), 657–664  mathnet  crossref  mathscinet  zmath
    16. N. N. Bogolyubov, S. G. Gindikin, A. A. Kirillov, A. N. Kolmogorov, S. P. Novikov, L. D. Faddeev, “Izrail' Moiseevich Gel'fand (on his seventieth birthday)”, Russian Math. Surveys, 38:6 (1983), 145–153  mathnet  crossref  mathscinet  zmath  adsnasa
    17. B. A. Kupershmidt, George Wilson, “Conservation laws and symmetries of generalized sine-Gordon equations”, Commun.Math. Phys., 81:2 (1981), 189  crossref
    18. Yvette Kosmann-Schwarzbach, “Hamiltonian systems on fibered manifolds”, Lett Math Phys, 5:3 (1981), 229  crossref
    19. I. M. Gel'fand, I. Ya. Dorfman, “Hamiltonian operators and algebraic structures related to them”, Funct. Anal. Appl., 13:4 (1979), 248–262  mathnet  crossref  mathscinet  zmath
    20. M. Adler, Lecture Notes in Mathematics, 755, Global Analysis, 1979, 1  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025