On the second Painlevé transcendent
From MaRDI portal
Publication:4164748
DOI10.1098/rspa.1978.0103zbMath0384.65042OpenAlexW2040447355MaRDI QIDQ4164748
Publication date: 1978
Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.1978.0103
Computation of special functions and constants, construction of tables (65D20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Asymptotic properties of solutions to ordinary differential equations (34D05) Other special functions (33E99)
Related Items
Painlevé equations -- nonlinear special functions., Nonlinear eigenvalue problems for generalized Painlevé equations, Energy eigenfunctions of the 1D Gross-Pitaevskii equation, Nonlinear eigenvalue problems, The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability, A method of linearization for Painlevé equations: Painlevé IV, V, Bäcklund Transformations and Solution Hierarchies for the Fourth Painlevé Equation, Generalized Burgers equations and Euler–Painlevé transcendents. I, A computational exploration of the second Painlevé equation, On the solvability of Painlevé II and IV, Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system, Lie transformations, nonlinear evolution equations, and Painlevé forms, The onset of cellular convection in a shallow two-dimensional container of fluid heated non-uniformly from below, Water waves and Korteweg–de Vries equations, A connection between nonlinear evolution equations and ordinary differential equations of P-type. II, Similarity Solutions of Some Two-Space-Dimensional Nonlinear Wave Evolution Equations, The Asymptotic Solution of the Korteweg-deVries Equation in the Absence of Solitons, Singular asymptotics for solutions of the inhomogeneous Painlevé II equation, On a unified approach to transformations and elementary solutions of Painlevé equations, On the Onset of Rayleigh-Bénard Convection in a Fluid Layer of Slowly Increasing Depth, Numerical study of the asymptotics of the second Painlevé equation by a functional fitting method
