Title 



Nonlinear periodic solutions for isothermal magnetostatic atmospheres


Author 





Abstract 



The equations of magnetohydrostatic 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 known as the GradShafranov equation. Specifying the arbitrary function in the latter equation, yields a nonlinear elliptic equation. Analytical nonlinear periodic solutions of this elliptic equation are obtained for the case of an isothermal atmosphere in a uniform gravitational field: e.g. a model for the solar atmosphere. We obtained several classes of exact solutions of five nonlinear evolution equations (Liouville, sinhPoisson, double sinhPoisson, sinePoisson and double sinePoisson) using the generalized tanh method. Moreover, the Backlund transformations are used to generate further new classes of solutions. The final results may be used to investigate some models in solar physics. (C) 2012 Published by Elsevier B.V.  

Language 



English


Source (journal) 



Journal of computational and applied mathematics.  Antwerp 

Publication 



Antwerp : 2013


ISSN 



03770427


Volume/pages 



242(2013), p. 2840


ISI 



000313390800003


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