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arXiv · 1703.02282

On Integrable Ermakov-Painlevé IV Systems

Colin Rogers·Andrew P. Bassom·Peter A. Clarkson
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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.

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Colin Rogers, Andrew P. Bassom, Peter A. Clarkson. 2017-12-18. On Integrable Ermakov-Painlevé IV Systems. https://doi.org/10.1016/j.jmaa.2018.02.025

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