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Russian Mathematical Surveys, 1979, Volume 34, Issue 1, Pages 149–180
DOI: https://doi.org/10.1070/RM1979v034n01ABEH002873
(Mi rm4018)
 

This article is cited in 65 scientific papers (total in 65 papers)

Contact geometry and non-linear second-order differential equations

V. V. Lychagin
References:
Received: 14.04.1978
Bibliographic databases:
Document Type: Article
UDC: 513.6+517.9
MSC: 53Dxx, 35G20, 53B35
Language: English
Original paper language: Russian
Citation: V. V. Lychagin, “Contact geometry and non-linear second-order differential equations”, Russian Math. Surveys, 34:1 (1979), 149–180
Citation in format AMSBIB
\Bibitem{Lyc79}
\by V.~V.~Lychagin
\paper Contact geometry and non-linear second-order differential equations
\jour Russian Math. Surveys
\yr 1979
\vol 34
\issue 1
\pages 149--180
\mathnet{http://mi.mathnet.ru/eng/rm4018}
\crossref{https://doi.org/10.1070/RM1979v034n01ABEH002873}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525652}
\zmath{https://zbmath.org/?q=an:0405.58003|0427.58002}
Linking options:
  • https://www.mathnet.ru/eng/rm4018
  • https://doi.org/10.1070/RM1979v034n01ABEH002873
  • https://www.mathnet.ru/eng/rm/v34/i1/p137
  • This publication is cited in the following 65 articles:
    1. Lewis Napper, Ian Roulstone, Vladimir Rubtsov, Martin Wolf, “Monge–Ampère geometry and vortices”, Nonlinearity, 37:4 (2024), 045012  crossref
    2. V. M. Buchstaber, F. Yu. Popelenskii, “Cohomology of Hopf algebras and Massey products”, Russian Math. Surveys, 79:4 (2024), 567–648  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    3. V. M. Buchstaber, F. Yu. Popelensky, “Cohomology of the Heisenberg Manifold Sequence”, J Math Sci, 284:1 (2024), 17  crossref
    4. Jean-Pierre Magnot, Enrique G. Reyes, Vladimir Rubtsov, “Towards a theory of homotopy structures for differential equations: First definitions and examples”, Journal of Differential Equations, 413 (2024), 805  crossref
    5. Véronique Fischer, Francesca Tripaldi, “An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups”, Advances in Mathematics, 429 (2023), 109192  crossref
    6. S. S. Mukhina, “Contact Transformations in Theory of Frontal Oil Displacement”, Lobachevskii J Math, 44:9 (2023), 3976  crossref
    7. Radek Suchánek, Tutorials, Schools, and Workshops in the Mathematical Sciences, Groups, Invariants, Integrals, and Mathematical Physics, 2023, 117  crossref
    8. Janusz Wójcik, “Analytical solution of the nonlinear equations of acoustic in the form of Gaussian beam”, Ultrasonics, 122 (2022), 106687  crossref
    9. A. G. Kushner, S. S. Mukhina, “Integration of the Deep Bed Filtration Equations”, Lobachevskii J Math, 43:10 (2022), 2785  crossref
    10. Radosław A. Kycia, “Entropy in Thermodynamics: from Foliation to Categorization”, Communications in Mathematics, 29:1 (2021), 49  crossref
    11. D. V. Tunitsky, “Multivalued solutions of hyperbolic Monge-Ampère equations: solvability, integrability, approximation”, Sb. Math., 211:3 (2020), 373–421  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    12. D. V. Tunitsky, “On Global Solvability of One-Dimensional Quasilinear Wave Equations”, Lobachevskii J Math, 41:12 (2020), 2510  crossref
    13. D.V. Tunitsky, “On the inverse variational problem for one class of quasilinear equations”, Journal of Geometry and Physics, 148 (2020), 103568  crossref
    14. Dragos-Patru Covei, “The Keller–Osserman Problem for the k-Hessian Operator”, Results Math, 75:2 (2020)  crossref
    15. Alexei Kushner, Valentin V. Lychagin, Jan Slovák, Tutorials, Schools, and Workshops in the Mathematical Sciences, Nonlinear PDEs, Their Geometry, and Applications, 2019, 53  crossref
    16. Lelito A. Morozov O.I., “Invariant Solutions to the Khokhlov-Zabolotskaya Singular Manifold Equation and Their Application”, Rep. Math. Phys., 81:1 (2018), 65–79  isi
    17. Aleksandra Lelito, Oleg I. Morozov, “Invariant solutions to the Khokhlov-Zabolotskaya singular manifold equation and their application”, Reports on Mathematical Physics, 81:1 (2018), 65  crossref
    18. E. A. Yaroshenko, A. M. Salnikov, 2017 Tenth International Conference Management of Large-Scale System Development (MLSD), 2017, 1  crossref
    19. Goo Ishikawa, Yoshinori Machida, “Monge–Ampère Systems with Lagrangian Pairs”, SIGMA, 11 (2015), 081, 32 pp.  mathnet  crossref
    20. Boris Kruglikov, Oleg Morozov, “Integrable Dispersionless PDEs in 4D, Their Symmetry Pseudogroups and Deformations”, Lett Math Phys, 105:12 (2015), 1703  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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