Accession Number:

ADA193270

Title:

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

Descriptive Note:

Corporate Author:

CLARKSON UNIV POTSDAM NY INST FOR NONLINEAR STUDIES

Personal Author(s):

• Fokas, A. S.
• Mugan, U.
• Ablowitz, M. J.

Report Date:

1987-02-01

Pagination or Media Count:

60.0

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