Matching Procedure for the Sixth Painlev\'e Equation (May 2006)
Classical Analysis and ODEs
2015-05-20 v1 Mathematical Physics
math.MP
Abstract
We present a constructive procedure to obtain the critical behavior of Painleve' VI transcendents and solve the connection problem. This procedure yields two and one parameter families of solutions, including trigonometric and logarithmic behaviors, and three classes of solutions with Taylor expansion at a critical point.
Cite
@article{arxiv.1010.1952,
title = {Matching Procedure for the Sixth Painlev\'e Equation (May 2006)},
author = {Davide Guzzetti},
journal= {arXiv preprint arXiv:1010.1952},
year = {2015}
}
Comments
57 pages