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Painlevé Ping-Pong P3-P5

  • Ziemowit Popowicz
Workshop
Part of the Lecture Notes in Physics book series (LNP, volume 189)

Abstract

In this lecture I should like to discuss the concept of the Ping-Pong which appeared in the Painlevé equations. First let me explain that the name “Painlevé Ping-Pong”, in this context, is not mine but belongs to Prof. F. J. Bureau [1]. In the first part of my talk I shall give the explicit construction of this Ping-Pong for the third and fifth Painlevé equations. The Ping-Pong, fairly sketchily, is a special kind of the transformation and exists also for the other Painlevé equations [1,2]. It can be considered as the Bäcklund transformation for the third and fifth Painlevé equations [3]. In the second part I shall describe the possible physical applications of this Ping-Pong.

Keywords

Ising Model Higgs Field Fourth Component Dimensional Ising Model Painlev6 Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Ziemowit Popowicz
    • 1
  1. 1.Institute of Theoretical PhysicsUniversity of WroclawPoland

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