Rogers, Colin, Clarkson, Peter (2018) Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation. Journal of Nonlinear Mathematical Physics, 25 (2). pp. 247-261. ISSN 1402-9251. (doi:10.1080/14029251.2018.1452672) (KAR id:66445)
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Official URL: https://doi.org/10.1080/14029251.2018.1452672 |
Abstract
A class of symmetry transformations of a type originally introduced in a nonlinear optics
context is used here to isolate an integrable Ermakov-Painlev´e II reduction of a resonant NLS
equation which encapsulates a nonlinear system in cold plasma physics descriptive of the uniaxial
propagation of magneto-acoustic waves. A B¨acklund transformation is employed in the
iterative generation of novel classes of solutions to the cold plasma system which involve either
Yablonski-Vorob’ev polynomials or classical Airy functions
Item Type: | Article |
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DOI/Identification number: | 10.1080/14029251.2018.1452672 |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Peter Clarkson |
Date Deposited: | 19 Mar 2018 09:51 UTC |
Last Modified: | 09 Dec 2022 06:31 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/66445 (The current URI for this page, for reference purposes) |
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