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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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/962789 |
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| author | Hossein Jafari Maryam Ghorbani Chaudry Masood Khalique |
| author_facet | Hossein Jafari Maryam Ghorbani Chaudry Masood Khalique |
| author_sort | Hossein Jafari |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-044e47a4169a4bc893fcb5e7ebcd7184 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-044e47a4169a4bc893fcb5e7ebcd71842025-02-03T01:27:26ZengWileyAbstract 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 |
| spellingShingle | Hossein Jafari Maryam Ghorbani Chaudry Masood Khalique Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method Abstract and Applied Analysis |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2012/962789 |
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