>>12878723what the poster here meant was (nonlinear dynamic systems)/(PDEs), not nonlinear PDEs. Most universities title their dynamical systems course as "nonlinear dynamic systems", "Intro to dynamical systems," "Intro to Chaos theory," etc.
I agree though, I like the wave equation for its versatility and inherently intuitive nature and the heat equation is generally something undergrad physics students don't really cover in depth, but still cool in its own right.