333 citations · 2k across the 60 of their papers we have counts for
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Symmetries, weak symmetries and related solutions of the Grad-Shafranov equation
Giampaolo Cicogna, Francesco Pegoraro, Francesco Ceccherini
We discuss a new family of solutions of the Grad--Shafranov (GS) equation that describe D-shaped toroidal plasma equilibria with sharp gradients at the plasma edge. These solutions…
Applications of Symmetry Methods to the Theory of Plasma Physics
Giampaolo Cicogna, Francesco Ceccherini, Francesco Pegoraro
The theory of plasma physics offers a number of nontrivial examples of partial differential equations, which can be successfully treated with symmetry methods. We propose three dif…
Symmetry properties of some Euler-type equations in plasma physics
F. Ceccherini, G. Cicogna, F. Pegoraro
We consider a system of partial differential equations, of interest to plasma physics, and provide all its Lie point symmetries, with their respective invariant solutions. We also…