Airy equation
= Airy equation
{c}
{title2=$q_t+q_{xxx}=0$}
The Airy equation is the linear dispersive partial differential equation $q_t+q_{xxx}=0$. Under the spatial <Fourier transform>, each mode evolves by multiplication by $e^{ik^3t}$.
For positive time its fundamental solution is $(3t)^{-1/3}\operatorname{Ai}(x/(3t)^{1/3})$, connecting this evolution equation to the <Airy function> without identifying the two concepts.