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Connection formulae for the first Painlevé transcendent in the complex domain

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Abstract

We have found, via the isomonodromy deformation method, a complete asymptotic description of the first Painlevé transcendent in the complex domain.

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References

  1. Garnier, R.,Ann. Sci. Ecole Norm. Sup. 29, 1–126 (1912).

    Google Scholar 

  2. Jimbo, M. and Miwa, T.,Physica D 2, 407 (1981).

    Google Scholar 

  3. Kapaev, A. A.,Differential Equations 24, 1107 (1988).

    Google Scholar 

  4. Joshi, N. and Kruskal, M. D., Connection results for the first Painlevé equation, School of Math. Univ. of New South Wales, Applied Math. Preprint, AM 91/4 (1991).

  5. Kitaev, A. V., Mathematical problems of wave propagation theory. 19,Zap. Nauchn. Sem. Leningrad Otdel. Mat. Inst. Steklov 179, 101–109 (1989).

    Google Scholar 

  6. Its, A. R. and Novokshonov, V. Yu.,The Isomonodromic Deformation Method in the Theory of Painlevé Equations, Lecture Notes in Math. 1191, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1986.

    Google Scholar 

  7. Boutroux, P.,Ann. Sci. Ecole Norm. Sup. 30, 265–375 (1913);31, 99–159 (1914).

    Google Scholar 

  8. Joshi, N. and Kruskal, M. D.,Phys. Lett. A 130, 129–137 (1988).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Institute of Aircraft Instrument Engineering, Hertzen 67, 190000, St. Petersburg, Russia

    A. A. Kapaev & A. V. Kitaev

Authors
  1. A. A. Kapaev
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  2. A. V. Kitaev
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Kapaev, A.A., Kitaev, A.V. Connection formulae for the first Painlevé transcendent in the complex domain. Lett Math Phys 27, 243–252 (1993). https://doi.org/10.1007/BF00777371

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