Kudryashov method for exactsolutions of isothermal magnetostaticatmospheres

The Kudryashov method to look for the exact solutions of the nonlinear differential equations is presented. The Kudryashov 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 eld are investigated analytically. An investigation of a familyof isothermal magnetostatic atmospheres with one ignorable coordinate cor- responding to a uniform gravitational eld 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 equationdepends on an arbitrary function of u that must be speci ed.

کلیدواژه ها:

Kudryashov method ، magnetostatic equilibria ، nonlinear evolu-tion equations ، traveling waves