Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation
نویسندگان
چکیده
A class of symmetry transformations a type originally introduced in nonlinear optics context is used here to isolate an integrable Ermakov-Painlev´e II reduction resonant NLS equation which encapsulates system cold plasma physics descriptive the uniaxial propagation magneto-acoustic waves. B¨acklund transformation employed the iterative generation novel classes solutions involve either Yablonski-Vorob’ev polynomials or classical Airy functions
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2021
ISSN: ['1776-0852', '1402-9251']
DOI: https://doi.org/10.1080/14029251.2018.1452672