Journal of Nonlinear Mathematical Physics

Volume 21, Issue 4, October 2014, Pages 628 - 642

Hybrid Ermakov-Painlevé IV Systems

Authors
Colin Rogers
Australian Research Council Centre of Excellence for Mathematics & Statistics of Complex Systems, School of Mathematics and Statistics, The University of New South Wales, Sydney, NSW2052, Australia. c.rogers@unsw.edu.au
Received 14 April 2014, Accepted 27 August 2014, Available Online 6 January 2021.
DOI
https://doi.org/10.1080/14029251.2014.975531How to use a DOI?
Abstract

Ermakov-Painlevé IV coupled systems are introduced and associated Ermakov-type invariants isolated. These invariants are used to obtain systematic reduction of the system in terms of the canonical Painlevé IV equation. The procedure is applied to a Ermakov-Painlevé IV symmetry reduction of a coupled derivative resonant nonlinear Schrö dinger triad incorporating de Broglie-Bohm potential terms.

Copyright
© 2014 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
21 - 4
Pages
628 - 642
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1080/14029251.2014.975531How to use a DOI?
Copyright
© 2014 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Colin Rogers
PY  - 2021
DA  - 2021/01
TI  - Hybrid Ermakov-Painlevé IV Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 628
EP  - 642
VL  - 21
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2014.975531
DO  - https://doi.org/10.1080/14029251.2014.975531
ID  - Rogers2021
ER  -