### Grad-Shafranov equation: MHD simulation of the new solution obtained from the Fadeev and Naval models

Arian Ojeda Gonzalez, Leandro Nunes Dos Santos, José Juan González-Avilés, Victor De La Luz & Pablo Rubén Muñoz-Gutberlet
This article aims to obtain a new analytical solution of a specific form of the Grad-Shafranov (GS) equation using Walker's formula. The new solution has magnetic field lines with X-type neutral points, magnetic islands and singular points. The singular points are located on the x-axis. The X-points and the center of the magnetic islands do not appear on the x-axis an island appears at $z>0$ and the other two at $z<0$. The aforementioned property allows...
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