Hone, Andrew N.W., Zullo, F. (2018) A Hirota bilinear equation for Painlevé transcendents PIV, PII and PI. Random Matrices: Theory and Applications, 7 (4). p. 1840001. ISSN 2010-3263. (doi:10.1142/S2010326318400014) (KAR id:70201)
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| Official URL https://doi.org/10.1142/S2010326318400014 |
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Abstract
We present some observations on the tau-function for the fourth Painlev´e equation.
we describe the general form of the Taylor expansion around an arbitrary movable
second Painlev´e equations, as well as that for the Weierstrass sigma function,
arise naturally as special cases, by setting certain parameters to zero.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1142/S2010326318400014 |
| Uncontrolled keywords: | Painlevé equation, tau-function, Hirota bilinear form, series expansions |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Faculties > Sciences > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | Andrew Hone |
| Date Deposited: | 20 Nov 2018 10:11 UTC |
| Last Modified: | 29 May 2019 22:05 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/70201 (The current URI for this page, for reference purposes) |
| Hone, Andrew N.W.: |  https://orcid.org/0000-0001-9780-7369 |
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