Airy scaling at a variable-speed wave turning point
= Airy scaling at a variable-speed wave turning point
{c}
{title2=$\delta=(\varepsilon^2/q)^{1/3}$}
In $\varepsilon^2\Psi''+2\varepsilon^2(c'/c)\Psi'+Q(Y)\Psi=0$, with $Q\sim-q(Y-Y_s)$ and $q>0$, set $Y-Y_s=(\varepsilon^2/q)^{1/3}\eta$. The leading equation is $\Psi_{\eta\eta}-\eta\Psi=0$, the <Airy ordinary differential equation>. The first derivative and nonlinear coefficient corrections are smaller by $O(\varepsilon^{2/3})$.