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On integrable Ermakov-Painlevé IV systems
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Rogers, C, Basson, AP 
ORCID: 0000-0003-3275-7801 and Clarkson, PA 2018
, 'On integrable Ermakov-Painlevé IV systems'
, Journal of Mathematical Analysis and Applications, vol. 462, no. 2
, pp. 1225-1241
, doi: https://doi.org/10.1016/j.jmaa.2018.02.025.
ORCID: 0000-0003-3275-7801 and Clarkson, PA 2018
, 'On integrable Ermakov-Painlevé IV systems'
, Journal of Mathematical Analysis and Applications, vol. 462, no. 2
, pp. 1225-1241
, doi: https://doi.org/10.1016/j.jmaa.2018.02.025.
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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 Type: | Article |
|---|---|
| Authors/Creators: | Rogers, C and Basson, AP and Clarkson, PA |
| Keywords: | Ermakov-Painleve equations |
| Journal or Publication Title: | Journal of Mathematical Analysis and Applications |
| Publisher: | Academic Press Inc Elsevier Science |
| ISSN: | 0022-247X |
| DOI / ID Number: | https://doi.org/10.1016/j.jmaa.2018.02.025 |
| Copyright Information: | Copyright 2018 Elsevier Inc. |
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| Item Statistics: | View statistics for this item |
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