Article

 

Methods for the computation of the multivalued Painleve transcendents on their Riemann surfaces Público Deposited

https://scholar.colorado.edu/concern/articles/q237hs90n
Abstract
  • We extend the numerical pole field solver (Fornberg and Weideman (2011) ) to enable the computation of the multivalued Painlevé transcendents, which are the solutions to the third, fifth and sixth Painlevé equations, on their Riemann surfaces. We display, for the first time, solutions to these equations on multiple Riemann sheets. We also provide numerical evidence for the existence of solutions to the sixth Painlevé equation that have pole-free sectors, known as tronquée solutions.
Creator
Date Issued
  • 2017-01-01
Additional Information
  • Journal of Computational Physics
Academic Affiliation
Journal Title
Journal Volume
  • 344.0
Última modificación
  • 2020-01-06
Resource Type
Declaración de derechos
DOI
ISSN
  • 1090-2716
Language
License

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