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On integrable Ermakov-Painlevé IV systems

journal contribution
posted on 2023-05-19, 16:48 authored by Rogers, C, Andrew BassomAndrew Bassom, Clarkson, PA
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.

History

Publication title

Journal of Mathematical Analysis and Applications

Volume

462

Pagination

1225-1241

ISSN

0022-247X

Department/School

School of Natural Sciences

Publisher

Academic Press Inc Elsevier Science

Place of publication

525 B St, Ste 1900, San Diego, USA, Ca, 92101-4495

Rights statement

Copyright 2018 Elsevier Inc.

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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    University Of Tasmania

    Categories

    Keywords

    Ermakov-Painleve equations

    Licence

    In Copyright

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