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Jafari, Hossein; Ghorbani, Maryam; Khalique, Chaudry Masood

Exact travelling wave solutions for isothermal magnetostatic atmospheres by Fan subequation method. (English) Zbl 1259.35055

Abstr. Appl. Anal. 2012, Article ID 962789, 11 p. (2012).
Summary: 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.

MSC:

35C07 Traveling wave solutions
35Q35 PDEs in connection with fluid mechanics
35Q60 PDEs in connection with optics and electromagnetic theory
35J60 Nonlinear elliptic equations

Keywords:

plasma in a gravitational field; magnetic vector potential
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\textit{H. Jafari} et al., Abstr. Appl. Anal. 2012, Article ID 962789, 11 p. (2012; Zbl 1259.35055)
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References:

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