Publication
Title
Nonlinear dispersive instabilities in Kelvin-Helmholtz magnetohydrodynamic flows
Author
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.
Language
English
Source (journal)
Physica scripta. - Stockholm
Publication
Stockholm : 2003
ISSN
0031-8949
Volume/pages
67:4(2003), p. 340-349
ISI
000182852100012
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.01.2013
Last edited 15.08.2017
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