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Symmetric solutions for the first and second Painlevé equations

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Abstract

For the equations P1 and P2, particular solutions of special form are given, for which the Cauchy problem is effectively solved, i.e., for the parameters describing their behavior near zero and infinity the connection formulas are obtained. Bibliography: 6 titles.

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Literature Cited

  1. A. A. Kapaev,Differents. Uravn.,24, No. 10, 1684–1695 (1988).

    MATH  MathSciNet  Google Scholar 

  2. A. A. Kapaev,Teor. Mat. Fiz.,77, No. 3, 323–332 (1988).

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  3. H. Bateman and A. Erdélyi,Higher Transcendental Functions, Mc Graw-Hill, New York-Toronto-London (1953).

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  4. V. I. Gromak,Differents. Uravn.,14, No. 12, 2131–2135 (1978).

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  5. A. V. Kitaev,Mat. Sb.,134, No. 3, 421–444 (1987).

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  6. N. A. Lukashevich,Differents. Uravn.,7, No. 6, 1124–1125 (1971).

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Authors
  1. A. V. Kitaev
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 187, pp. 129–138, 1990.

Translated by N. Yu. Netsvetaev.

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Kitaev, A.V. Symmetric solutions for the first and second Painlevé equations. J Math Sci 73, 494–499 (1995). https://doi.org/10.1007/BF02364571

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  • DOI: https://doi.org/10.1007/BF02364571

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