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Differentsial'nye Uravneniya, 1994, Volume 30, Number 5, Pages 791–796 (Mi de8368)  

This article is cited in 11 scientific papers (total in 11 papers)

Ordinary Differential Equations

The Hamilton property of Painlevé equations and the method of isomonodromic deformations

B. I. Suleimanov

Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
Received: 23.03.1992
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: B. I. Suleimanov, “The Hamilton property of Painlevé equations and the method of isomonodromic deformations”, Differ. Uravn., 30:5 (1994), 791–796; Differ. Equ., 30:5 (1994), 726–732
Citation in format AMSBIB
\Bibitem{Sul94}
\by B.~I.~Suleimanov
\paper The Hamilton property of Painlev\'e equations and the method of isomonodromic deformations
\jour Differ. Uravn.
\yr 1994
\vol 30
\issue 5
\pages 791--796
\mathnet{http://mi.mathnet.ru/de8368}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1306348}
\transl
\jour Differ. Equ.
\yr 1994
\vol 30
\issue 5
\pages 726--732
Linking options:
  • https://www.mathnet.ru/eng/de8368
  • https://www.mathnet.ru/eng/de/v30/i5/p791
  • This publication is cited in the following 11 articles:
    1. V. A. Pavlenko, “Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of H3+2 Hamiltonian systems”, Theoret. and Math. Phys., 212:3 (2022), 1181–1192  mathnet  crossref  crossref  mathscinet  adsnasa
    2. V. V. Tsegel'nik, “Properties of solutions of two second-order differential equations with the Painlevé property”, Theoret. and Math. Phys., 206:3 (2021), 315–320  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    3. V. A. Pavlenko, B. I. Suleimanov, “Solutions to analogues of non-stationary Schrödinger equations defined by isomonodromic Hamilton system H2+1+1+1”, Ufa Math. J., 10:4 (2018), 92–102  mathnet  crossref  isi
    4. D. P. Novikov, B. I. Suleimanov, ““Quantization” of an isomonodromic Hamiltonian Garnier system with two degrees of freedom”, Theoret. and Math. Phys., 187:1 (2016), 479–496  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    5. B. I. Suleimanov, “Quantum aspects of the integrability of the third Painlevé equation and a non-stationary time Schrödinger equation with the Morse potential”, Ufa Math. J., 8:3 (2016), 136–154  mathnet  crossref  mathscinet  isi  elib
    6. B. I. Suleimanov, ““Quantizations” of Higher Hamiltonian Analogues of the Painlevé I and Painlevé II Equations with Two Degrees of Freedom”, Funct. Anal. Appl., 48:3 (2014), 198–207  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    7. A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Classification of isomonodromy problems on elliptic curves”, Russian Math. Surveys, 69:1 (2014), 35–118  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    8. A. V. Zotov, A. V. Smirnov, “Modifications of bundles, elliptic integrable systems, and related problems”, Theoret. and Math. Phys., 177:1 (2013), 1281–1338  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    9. B. I. Suleimanov, ““Kvantovaya” linearizatsiya uravnenii Penleve kak komponenta ikh L,A par”, Ufimsk. matem. zhurn., 4:2 (2012), 127–135  mathnet
    10. D. P. Novikov, “The 2×2 matrix Schlesinger system and the Belavin–Polyakov–Zamolodchikov system”, Theoret. and Math. Phys., 161:2 (2009), 1485–1496  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    11. B. I. Suleimanov, ““Quantizations” of the second Painlevé equation and the problem of the equivalence of its LA pairs”, Theoret. and Math. Phys., 156:3 (2008), 1280–1291  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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