Integral formulas for Painlev\'e-2 transcendent
Exactly Solvable and Integrable Systems
2021-04-26 v2 Classical Analysis and ODEs
Abstract
In the work we use integral formulas for calculating the monodromy data for the Painlev\'e-2 equation. The perturbation theory for the auxiliary linear system is constructed and formulas for the variation of the monodromy data are obtained. We also derive a formula for solving the linearized Painlev\'e-2 equation based on the Fourier-type integral of the squared solutions of the auxiliary linear system of equations.
Cite
@article{arxiv.2103.09871,
title = {Integral formulas for Painlev\'e-2 transcendent},
author = {O. M. Kiselev},
journal= {arXiv preprint arXiv:2103.09871},
year = {2021}
}
Comments
21 pages, 5 figures