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Kelvin-Helmholtz instability in magnetohydrodynamic flows

Published online by Cambridge University Press:  01 November 2006

A. H. Khater ,
D. K. Callebaut ,
A. R. Seadawy  and
A. Hady
A. H. Khater
Affiliation:
Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt email: khater_ah@yahoo.com & aly742001@yahoo.com Department Natuurkunde, CGB, University of Antwerp, B-2020 Antwerp, Belgium email: dirk.callebaut@ua.ac.be
D. K. Callebaut
Affiliation:
Department Natuurkunde, CGB, University of Antwerp, B-2020 Antwerp, Belgium email: dirk.callebaut@ua.ac.be
A. R. Seadawy
Affiliation:
Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt email: khater_ah@yahoo.com & aly742001@yahoo.com
A. Hady
Affiliation:
Department of Astronomy, Faculty of Science, Cairo University, Giza, Egypt
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Abstract

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The Rayleigh-Taylor instability (RTI) of a continuously stratified fluid has implications on the stability of solar and planetary interiors. A nonlinear stage of the two-dimensional RTI is studied by including various effects. By using the multiple scale method, we derived a nonlinear Schrödinger equation (NLSE) in 2+1 dimensions. We show the general soliton solutions of the NLSE and this allows to discuss their stability.

Keywords

MHDRayleigh-Taylor instabilitysolar windplanetary interiors
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2 , Symposium S233: Solar Activity and its Magnetic Origin , March 2006 , pp. 49 - 52
Copyright
© 2006 International Astronomical Union