Exact travelling wave solutions for isothermal magnetostatic atmospheres by Fan subequation method (Q1938348)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Exact travelling wave solutions for isothermal magnetostatic atmospheres by Fan subequation method |
scientific article; zbMATH DE number 6134204
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact travelling wave solutions for isothermal magnetostatic atmospheres by Fan subequation method |
scientific article; zbMATH DE number 6134204 |
Statements
Exact travelling wave solutions for isothermal magnetostatic atmospheres by Fan subequation method (English)
0 references
4 February 2013
0 references
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.
0 references
plasma in a gravitational field
0 references
magnetic vector potential
0 references
0 references
0 references
0 references
0 references
0 references
