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Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method

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Listed:
  • Hossein Jafari
  • Maryam Ghorbani
  • Chaudry Masood Khalique

Abstract

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.

Suggested Citation

  • Hossein Jafari & Maryam Ghorbani & Chaudry Masood Khalique, 2012. "Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:962789
    DOI: 10.1155/2012/962789
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    References listed on IDEAS

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    1. Yomba, Emmanuel, 2006. "The modified extended Fan sub-equation method and its application to the (2+1)-dimensional Broer–Kaup–Kupershmidt equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 187-196.
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