KdV Soliton Collision

u_t + 6uu_x + u_xxx = 0 · Elastic collision: solitons pass through unchanged

Speed ratio: 2.5

Amplitude 1: 2.0

KdV soliton: u(x,t) = (c/2) sech²(√c/2 · (x−ct)). Faster solitons are taller. After collision, both emerge unchanged — a hallmark of integrability via inverse scattering.