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On Integrable Ermakov-Painlevé IV Systems

Published 7 Mar 2017 in nlin.SI | (1703.02282v2)

Abstract: Novel hybrid Ermakov-Painlev\'{e} IV systems are introduced and an associated Ermakov invariant is used in establishing their integrability. B\"{a}cklund transformations are then employed to generate classes of exact solutions via the linked canonical Painlev\'{e} IV equation.

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