On the asymptotic analysis of the Painleve equations via the isomonodromy method
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Publication:4309158
DOI10.1088/0951-7715/7/5/002zbMath0816.34039OpenAlexW1972778182MaRDI QIDQ4309158
Alexander R. Its, Athanassios S. Fokas, Andrei A. Kapaev
Publication date: 20 July 1995
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/7/5/002
Painlevé equationsRiemann-Hilbert problemsisomonodromy methodglobal asymptotic propertiesmethod of Deift and Zhoumethod of Kitaev
Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Asymptotic expansions of solutions to ordinary differential equations (34E05)
Related Items (9)
Painlevé equations -- nonlinear special functions. ⋮ The capture into parametric autoresonance ⋮ A computational overview of the solution space of the imaginary Painlevé II equation ⋮ 2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis ⋮ Hamiltonian structure of rational isomonodromic deformation systems ⋮ Slow passage through a transcritical bifurcation for Hamiltonian systems and the change in action due to a nonhyperbolic homoclinic orbit ⋮ New results in \(\mathcal N=2\) theories from non-perturbative string ⋮ On the Riemann--Hilbert--Birkhoff inverse monodromy problem and the Painlevé equations ⋮ The conjugate gradient algorithm on a general class of spiked covariance matrices
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