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

Hossein Jafari, Maryam Ghorbani and Chaudry Masood Khalique

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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 u. This equation depends on an arbitrary function of u that must be specified. With choices of the different arbitrary functions, we obtain analytical solutions of elliptic equation using the Fan subequation method.

Date: 2012
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https://doi.org/10.1155/2012/962789

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