Journal of Nonlinear Mathematical Physics

Volume 14, Issue 4, December 2007, Pages 578 - 588

Some spherical solutions of ideal magnetohydrodynamic equations

Authors
P.Y. Picard
Corresponding Author
P.Y. Picard
Received 29 May 2007, Accepted 24 August 2007, Available Online 1 December 2007.
DOI
10.2991/jnmp.2007.14.4.6How to use a DOI?
Abstract

Some spherical solutions of the ideal magnetohydrodynamic (MHD) equations are obtained from the method of the weak transversality method (WTM), which is based on Lie group theory. This analytical method makes use of the symmetry group of the MHD system in situations where the “classical” Lie approach of symmetry reductions is no longer applicable. Also, a brief physical interpretation of these solutions is given.

Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
14 - 4
Pages
578 - 588
Publication Date
2007/12/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2007.14.4.6How to use a DOI?
Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - P.Y. Picard
PY  - 2007
DA  - 2007/12/01
TI  - Some spherical solutions of ideal magnetohydrodynamic equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 578
EP  - 588
VL  - 14
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2007.14.4.6
DO  - 10.2991/jnmp.2007.14.4.6
ID  - Picard2007
ER  -