Nonlinear periodic solutions for isothermal magnetostatic atmospheres
نویسندگان
چکیده
The equations of magnetohydrostatic equilibria for a plasma in a gravitational field are investigated analytically. For equilibria with one ignorable spatial coordinate, these equations reduce to a single nonlinear elliptic equation for the magnetic vector potential A. This equation depends on an arbitrary function of A that must be specified. In this paper analytical nonlinear periodic solutions of this elliptic equation are presented for the case of an isothermal atmosphere in a uniform gravitational field for different choices of the arbitrary function. These solutions are obtained using the generalized “tanh method”.
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عنوان ژورنال:
- J. Computational Applied Mathematics
دوره 242 شماره
صفحات -
تاریخ انتشار 2013