Fasondini, Marco, Fornberg, Bengt, Weideman, J.A.C. (2017) Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces. Journal of Computational Physics, 344 . pp. 36-50. ISSN 0021-9991. (doi:10.1016/j.jcp.2017.04.071) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:66319)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication) | |
| Official URL: http://dx.doi.org/10.1016/j.jcp.2017.04.071 |
Abstract
We extend the numerical pole field solver (Fornberg and Weideman (2011) [12]) 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.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1016/j.jcp.2017.04.071 |
| Subjects: |
Q Science > QA Mathematics (inc Computing science) Q Science > QC Physics |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Marco Fasondini |
| Date Deposited: | 08 Mar 2018 13:10 UTC |
| Last Modified: | 04 Mar 2024 19:34 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/66319 (The current URI for this page, for reference purposes) |
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