Title 



Painleve analysis and nonlinear periodic solutions for isothermal magnetostatic atmospheres
 
Author 



 
Abstract 



The equations of magnetohydrodynamic equilibria for a plasma in a gravitational field are investigated analytically. For equilibria with one ignorable spatial coordinate, the equations reduce to a single nonlinear elliptic equation for the magnetic potential psi, known as the GradShafranov equation. Specifying the arbitrary functions in the latter equation, one gets a nonlinear elliptic equation. Analytical solutions of the elliptic equation are obtained for the case of a nonlinear isothermal atmosphere in a uniform gravitational field. The solutions are obtained by using the Painleve analysis, and are adequate for describing parallel filaments of diffuse, magnetized plasma suspended horizontally in equilibrium in a uniform gravitational field.   
Language 



English
 
Source (journal) 



Solar physics.  Dordrecht  
Publication 



Dordrecht : 1998
 
ISSN 



00380938
 
Volume/pages 



178:2(1998), p. 285315
 
ISI 



000072818800008
 
Full text (Publisher's DOI) 


  
