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On integrable Ermakov-Painlevé IV systems


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


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

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