Congrats on the paper, @Clayton, very nice work! Love the visuals. For curious minds, elliptic function are not just abstract math objects - they have many real world applications and are very useful for sone nonlinear PDE modeling including soliton states. What is an a elliptic wave in some parameter limit becomes a hyperbolic function with a localized non-wave feature like say tanh(x) - and that is a soliton. In time domain this is like a pendulum starting near the top, swinging once, and asymptotically approaching the unstable upright state again.