Lie symmetries of a system arising in plasma physics
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4665
Abstract: Lie group classification for a diffusion-type system that has applications in plasma physics is derived. The classification depends on the values of 5 parameters that appear in the system. Similarity reductions are presented. Certain initial… read more here.
Keywords: system arising; system; lie symmetries; physics ... See more keywords
Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1080/14029251.2018.1452672
Abstract: Abstract A class of symmetry transformations of a type originally introduced in a nonlinear optics context is used here to isolate an integrable Ermakov-Painlevé II reduction of a resonant NLS equation which encapsulates a nonlinear… read more here.
Keywords: painlev reduction; cold plasma; physics; plasma physics ... See more keywords
Generic properties of free boundary problems in plasma physics
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DOI: 10.1088/1361-6544/ac3923
Abstract: We are concerned with the global bifurcation analysis of positive solutions to free boundary problems arising in plasma physics. We show that in general, in the sense of domain variations, the following alternative holds: either… read more here.
Keywords: free boundary; physics; properties free; plasma physics ... See more keywords
Generalized fifth-order nonlinear evolution equation for the Sawada-Kotera, Lax, and Caudrey-Dodd-Gibbon equations in plasma physics: Painlevé analysis and multi-soliton solutions
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DOI: 10.1088/1402-4896/ac4f9d
Abstract: This research aims to investigate a generalized fifth-order nonlinear partial differential equation for the Sawada-Kotera (SK), Lax, and Caudrey-Dodd-Gibbon (CDG) equations to study the nonlinear wave phenomena in shallow water, ion-acoustic waves in plasma physics,… read more here.
Keywords: generalized fifth; fifth order; physics; equation ... See more keywords
Perspectives on Research in Computational Plasma Physics With Applications to Experiments
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Plasma Science"
DOI: 10.1109/tps.2019.2944331
Abstract: Computational plasma physics was born some 50 years ago with the development of high-speed computers. Computer simulation is well suited to the challenging nature of fundamental and applied plasma science, which exhibits enormous ranges of… read more here.
Keywords: physics; development; perspectives research; plasma physics ... See more keywords