Solution Hierarchies for the Painlevé IV Equation

Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

We will obtain real and complex solutions of the Painlevé IV equation through supersymmetric quantum mechanics. The real solutions will be classified into several hierarchies, and a similar procedure will be followed for the complex solutions.

Keywords

Factorization method supersymmetric quantum mechanics Painlevé equations 

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Departamento de FísicaCinvestavMéxico D.F.Mexico

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