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Solution Hierarchies for the Painlevé IV Equation

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Geometric Methods in Physics

Part of the book series: Trends in Mathematics ((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.

Mathematics Subject Classification (2010). Primary 81Q60; Secondary 34M55.

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Author information

Authors and Affiliations

  1. Departamento de Física, Cinvestav, 14-740, 07000, México D.F., Mexico

    David Bermúdez & David J. Fernández C.

Authors
  1. David Bermúdez
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  2. David J. Fernández C.
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Corresponding author

Correspondence to David Bermúdez .

Editor information

Editors and Affiliations

  1. Departamento de Física, CINVESTAV, Mexico City, Distrito Federal, Mexico

    Piotr Kielanowski

  2. Dept. of Mathematics and Statistics, Concordia University, Montreal, Québec, Canada

    S. Twareque Ali

  3. Institute of Mathematics, University of Bialystok, Bialystok, Poland

    Anatol Odzijewicz

  4. Mathematics Research Unit, FSTC, University of Luxembourg, Luxembourg-Kirchberg, Luxembourg

    Martin Schlichenmaier

  5. School of Mathematics, University of Manchester, Manchester, United Kingdom

    Theodore Voronov

Additional information

To Professor Bogdan Mielnik on his 75th Birthday

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Bermúdez, D., C., D.J.F. (2013). Solution Hierarchies for the Painlevé IV Equation. In: Kielanowski, P., Ali, S., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0448-6_16

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