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Asymptotic expressions for the second Painlevé functions

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Publication:583455
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DOI10.1007/BF01016976zbMath0692.34061MaRDI QIDQ583455

Andrei A. Kapaev

Publication date: 1988

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

Painlevé equationisomonodromic deformation methodsecond Painlevé transcendent solutions


Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05) Asymptotic theory for ordinary differential equations (34E99)


Related Items

The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability, Painlevé II equation as a model of a resonant interaction of oscillators, Remarkable charged particle dynamics near magnetic field null lines, On the increasing tritronquée solutions of the Painlevé-II equation, New exact solutions of the Boussinesq equation, Resonance capture in a system of two oscillators near equilibrium, Small-amplitude dispersion oscillations on the background of the nonlinear geometric optic approximation



Cites Work

  • Unnamed Item
  • The isomonodromic deformation method in the theory of Painlevé equations
  • Monodromy- and spectrum-preserving deformations. I
  • A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
  • Giant waves
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