Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method

Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method

The equations of magnetohydrostatic equilibria for a plasma in a gravitational field are investigated analytically. An investigation of a family of isothermal magnetostatic atmospheres with one ignorable coordinate corresponding to a uniform gravitational field in a plane geometry is carried out. Th...

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Main Authors: Hossein Jafari, Maryam Ghorbani, Chaudry Masood Khalique
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/962789
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spelling doaj-044e47a4169a4bc893fcb5e7ebcd71842020-11-24T21:11:55ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/962789962789Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation MethodHossein Jafari0Maryam Ghorbani1Chaudry Masood Khalique2Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P.O. Box 47416-95447, Babolsar, IranDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P.O. Box 47416-95447, Babolsar, IranInternational Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South AfricaThe equations of magnetohydrostatic equilibria for a plasma in a gravitational field are investigated analytically. An investigation of a family of isothermal magnetostatic atmospheres with one ignorable coordinate corresponding to a uniform gravitational field in a plane geometry is carried out. These equations transform to a single nonlinear elliptic equation for the magnetic vector potential . This equation depends on an arbitrary function of that must be specified. With choices of the different arbitrary functions, we obtain analytical solutions of elliptic equation using the Fan subequation method.http://dx.doi.org/10.1155/2012/962789
collection DOAJ
language English
format Article
sources DOAJ
author Hossein Jafari
Maryam Ghorbani
Chaudry Masood Khalique
spellingShingle Hossein Jafari
Maryam Ghorbani
Chaudry Masood Khalique
Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method
Abstract and Applied Analysis
author_facet Hossein Jafari
Maryam Ghorbani
Chaudry Masood Khalique
author_sort Hossein Jafari
title Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method
title_short Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method
title_full Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method
title_fullStr Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method
title_full_unstemmed Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method
title_sort exact travelling wave solutions for isothermal magnetostatic atmospheres by fan subequation method
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description The equations of magnetohydrostatic equilibria for a plasma in a gravitational field are investigated analytically. An investigation of a family of isothermal magnetostatic atmospheres with one ignorable coordinate corresponding to a uniform gravitational field in a plane geometry is carried out. These equations transform to a single nonlinear elliptic equation for the magnetic vector potential . This equation depends on an arbitrary function of that must be specified. With choices of the different arbitrary functions, we obtain analytical solutions of elliptic equation using the Fan subequation method.
url http://dx.doi.org/10.1155/2012/962789
work_keys_str_mv AT hosseinjafari exacttravellingwavesolutionsforisothermalmagnetostaticatmospheresbyfansubequationmethod
AT maryamghorbani exacttravellingwavesolutionsforisothermalmagnetostaticatmospheresbyfansubequationmethod
AT chaudrymasoodkhalique exacttravellingwavesolutionsforisothermalmagnetostaticatmospheresbyfansubequationmethod
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