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On integrable Ermakov-Painlevé IV systems
Citation
Rogers, C and Bassom, AP and Clarkson, PA, On integrable Ermakov-Painlevé IV systems, Journal of Mathematical Analysis and Applications, 462, (2) pp. 1225-1241. ISSN 0022-247X (2018) [Refereed Article]
Copyright Statement
Copyright 2018 Elsevier Inc.
DOI: doi:10.1016/j.jmaa.2018.02.025
Abstract
Novel hybrid Ermakov–Painlevé IV systems are introduced and an associated Ermakov invariant is used in establishing their integrability. Bäcklund transformations are then employed to generate classes of exact solutions via the linked canonical Painlevé IV equation.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | Ermakov-Painleve equations |
| Research Division: | Mathematical Sciences |
| Research Group: | Applied mathematics |
| Research Field: | Theoretical and applied mechanics |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding knowledge |
| Objective Field: | Expanding knowledge in the mathematical sciences |
| UTAS Author: | Bassom, AP (Professor Andrew Bassom) |
| ID Code: | 124903 |
| Year Published: | 2018 |
| Web of Science® Times Cited: | 3 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2018-03-18 |
| Last Modified: | 2019-02-27 |
| Downloads: | 0 |
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