17. Dispersive waves and solitons

Corrections

At 1:05, "looks a little bit like the wave equation" should be the heat equation.

At 10:35, e^3t (etc.) should be e^3x (etc.).

External videos

• Ripples in a pond. Nice footage, with explanations, of the dispersive waves seen when you drop a small object into a pond of water. This includes also capillary waves, which I didn't mention in my video; these are waves with very short wavelength (less than a few cm), where surface tension (not gravity) is the dominant effect.
• KdV Solitons. Animations of KdV soliton solutions by Stephen Anco and Mark R. Willoughby, Brock University, Ontario, Canada. (Part of a series of pages about Solitons & Nonlinear Wave Equations, which you might find interesting too.)

Sidansvarig: Hans Lundmark
Senast uppdaterad: 2023-04-28