Solution hierarchies for the Painleve IV equation
arXiv:1111.6987 · doi:10.1007/978-3-0348-0448-6_16
Abstract
In this article we will obtain real and complex solutions to the Painleve IV equation through supersymmetric quantum mechanics. Then we will classify them into real solution hierarchies and also the complex solution hierarchies, which are hardly studied.
9 pages, 4 figures. Proceedings of the XXXI Workshop on Geometric Methods in Physics (June 24-30, 2012. Bialowieza, Poland)