Abstract
By the isomonodromy deformation method, the asymptotics of the general solution for the second Painlevé equation yxx=2y3+xy−α asReα→∞ are described for any x. The corresponding formulas are also presented. Bibliography: 23 titles.
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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 209, 1994, pp. 60–101.
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Kapaev, A.A. Scaling limits in the second Painlevé transcendent. J Math Sci 83, 38–61 (1997). https://doi.org/10.1007/BF02398460
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DOI: https://doi.org/10.1007/BF02398460