Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation

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
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:	05 Nov 2024 11:05 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/66445 (The current URI for this page, for reference purposes)

University of Kent Author Information

Clarkson, Peter.

Creator's ORCID:	https://orcid.org/0000-0002-8777-5284
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