Exact Solutions to the Beltrami Equation with a Non-constant $$\alpha({\bf x})$$
Tóm tắt
Infinite families of new exact solutions to the Beltrami equation
with a non-constant
$$\alpha({\bf x})$$
are derived. Differential operators connecting the steady axisymmetric Klein – Gordon equation and a special case of the Grad – Shafranov equation are constructed. A Lie semi-group of nonlinear transformations of the Grad – Shafranov equation is found.
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