English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We derive exact solutions of a linear form of the Grad-Shafranov (GS)equation, including incompressible equilibrium flow, using ansatz-basedsimilarity reduction methods. The linearity of the equilibrium equation allowslinear combinations of solutions in order to obtain axisymmetric MHD equilibriawith closed and nested magnetic surfaces which are favorable for the effectiveconfinement of laboratory plasmas. In addition, employing the same reductionmethods we obtain analytical solutions for several non-linear forms of the GSequation. In this context analytic force-free solutions in both linear andnonlinear regimes are also derived.

Exact solutions of the Grad-Shafranov equation via similarity reduction and applications to magnetically confined plasmas