For real solutions of the first Painlevé equation, the authors derive full asymptotic expansions of Stokes multipliers in terms of a zero's location and slope, yielding a classification and connection formulas for large positive zeros.
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Classification of the real Painlev\'{e} I transcendents by zeros and connection problem: an asymptotic study
For real solutions of the first Painlevé equation, the authors derive full asymptotic expansions of Stokes multipliers in terms of a zero's location and slope, yielding a classification and connection formulas for large positive zeros.