Solution hierarchies for the Painleve IV equation

Details Solution hierarchies for the Painleve IV equation Solution hierarchies for the Painleve IV equation

2011-11-29

arxiv.org/abs/1111.6987v1

Physics

Mathematical Physics

9 pages, 4 figures. Proceedings of the XXXI Workshop on Geometric Methods in Physics (June 24-30, 2012. Bialowieza, Poland)

Scientific paper

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.

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