Title
Nonlinear dispersive instabilities in Kelvin-Helmholtz magnetohydrodynamic flows Nonlinear dispersive instabilities in Kelvin-Helmholtz magnetohydrodynamic flows
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Stockholm ,
Subject
Physics
Source (journal)
Physica scripta. - Stockholm
Volume/pages
67(2003) :4 , p. 340-349
ISSN
0031-8949
ISI
000182852100012
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In this paper a weakly nonlinear theory of wave propagation in superposed fluids in the presence of magnetic fields is presented. The equations governing the evolution of the amplitude of the progressive waves are reported. The nonlinear evolution of Kelvin-Helmholtz instability (KHI) is examined in 2 + 1 dimensions in the context of magnetohydrodynamics (MHD). We study the envelope properties of the 2 + 1 dimensional wave packet. We converted the resulting nonlinear equation for the evolution of the wave packets in a 2 + 1 dimensional nonlinear Schrodinger (NLS) equation by using the function transformation method into a sine-Gordon equation, which depends only on one function, zeta. We obtained rather general classes of solutions of the equation in zeta which leads to rather general soliton solutions of the 2 + 1 dimensional NLS equation. This result contains interesting specific solutions such as N multiple solitons, propagational breathers and quadratic solitons.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/bd58df/5891.pdf
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