N. Kadkhoda and H. Jafari. Kudryashov method for exact solutions of isothermal magnetostatic atmospheres

• Date: 2015 Dec 06
• Authors: نعمت اله کدخدا
• Keywords: simplest equation method, magnetostatic equilibria, nonlinear evolution equations, traveling waves.

The simplest equation method to look for the exact solutions of the nonlinear differential equations is presented. The simplest equation method is applied to search for the exact solutions of the Liouville equation and the Sinh-Poisson equation. 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. The distributed current in the model J is directed along the x-axis where x is the horizontal ignorable coordinate. 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.