Accession Number : ADA193270

Title :   A Method of Solution for Painleve Equations: Painleve IV, V,

Corporate Author : CLARKSON UNIV POTSDAM NY INST FOR NONLINEAR STUDIES

Personal Author(s) : Fokas, A S ; Mugan, U ; Ablowitz, M J

PDF Url : ADA193270

Report Date : Feb 1987

Pagination or Media Count : 60

Abstract : A method to solve the initial value problem associated with the Painleve equations IV, V is given. The procedure involves formulating a Riemann-Hilbert boundary value problem on intersecting lines for the inverse monodromy problem. The boundary value problem is reduced to a sequence of standard problems on single lines in a certain range of parameter squares. Schlesinger transformations allow one to completely cover the parameter space. Special solutions are constructed from special cases of the Riemann problem as well.

Descriptors :   *BOUNDARY VALUE PROBLEMS, *TRANSCENDENTAL FUNCTIONS, EQUATIONS, SCHRODINGER EQUATION

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE