Soliton-Like Solutions of the Grad-Shafranov Equation

Details Soliton-Like Solutions of the Grad-Shafranov Equation Soliton-Like Solutions of the Grad-Shafranov Equation

2003-03-19

arxiv.org/abs/astro-ph/0303448v1

Phys.Rev.Lett. 90 (2003) 135005

Astronomy and Astrophysics

Astrophysics

Accepted for publication on Physical Review Letters

Scientific paper

10.1103/PhysRevLett.90.135005

A new class of soliton-like solutions is derived for the Grad-Shafranov (GS) equations. A mathematical analogy between the GS equation for MHD equilibria and the cubic Schr\"odinger (CS) equation for non-linear wave propagation forms the basis to derive the new class of solutions. The soliton-like solutions are considered for their possible relevance to astrophysics and solar physics problems. We discuss how a soliton-like solution can be generated by a repetitive process of magnetic arcade stretching and plasmoid formation induced by the differential rotation of the solar photosphere or of an accretion disk.

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