Emden-Fowler transformation
= Emden-Fowler transformation
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The <Emden-Fowler transformation> is a change of variables for scaling-invariant radial equations, including the <Lane-Emden equation>. The Emden-Fowler transformation replaces a radial variable $r$ by logarithmic time $s=\log r$ and rescales the dependent variable by a power of $r$. It converts many scale-invariant radial equations into autonomous ordinary differential equations.