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2017-03-07
On Integrable Ermakov-Painlev\'{e} IV Systems
Colin RogersAndrew P. BassomPeter A. Clarkson
文献摘要
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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