Rogers, Colin, Bassom, Andrew P., Clarkson, Peter (2018) On integrable Ermakov-Painlevé IV systems. Journal of Mathematical Analysis and Applications, 462 (2). pp. 1225-1241. ISSN 0022-247X. (doi:10.1016/j.jmaa.2018.02.025) (KAR id:66116)
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| Official URL: https://doi.org/10.1016/j.jmaa.2018.02.025 |
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Abstract
Novel hybrid Ermakov-Painleve IV systems are introduced and an associated Ermakov invariant is used in establishing their integrability. Backlund transformations are then employed to generate classes of exact solutions via the linked canonical Painleve IV equation.
| Item Type: | Article |
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| DOI/Identification number: | 10.1016/j.jmaa.2018.02.025 |
| Uncontrolled keywords: | Ermakov–Painlevé systems, Painlevé equation, Bäcklund transformations |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Peter Clarkson |
| Date Deposited: | 22 Feb 2018 15:34 UTC |
| Last Modified: | 05 Nov 2024 11:04 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/66116 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Clarkson, Peter.
| Creator's ORCID: |
 https://orcid.org/0000-0002-8777-5284
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