ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Gavrikov M. B., Savelev V. V., Tajurskij A. A. Solitons in two­-fluid magnetohydrodynamics with non­zero electron inertia. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 132-147. DOI: 10.18500/0869-6632-2010-18-4-132-147

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Language: 
Russian
Heading: 
Nonlinear Waves. Solitons
Article type: 
Article
UDC: 
533.907
DOI: 
10.18500/0869-6632-2010-18-4-132-147

Solitons in two­-fluid magnetohydrodynamics with non­zero electron inertia

Autors: 
Gavrikov Mihail Borisovich, Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)
Savelev Vjacheslav Vladimirovich, Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)
Tajurskij Aleksej Aleksandrovich, Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)
Abstract: 

The interaction between solitary waves in two fluid magnetohydrodynamic model of plasma with electron inertia taken into account is investigated analytically and numerically. Waves with linear polarization of a magnetic field are considered. A principal difference of the present work is the using of the «exact» equations, instead of the modeling equations. It is numerically shown, that solitary waves really are solitons, i.e. their interaction is similar to interaction of colliding particles.

Key words: 
Two-fluid magnetohydrodynamic
plasma
soliton
electron inertia
dispersion
Lax-Wendroff difference scheme
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Received: 
24.11.2009
Accepted: 
01.07.2010
Published: 
29.10.2010
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