Head-on Collisions of KdV Solitons

Head-On Collisions of KdV Solitons

REU students: Ming Yi, Haink Tu

OMAE 2004 Proceedings Manuscript
Hammack, Henderson, Guyenne, Yi

Solitary water wave interactions, Physics of Fluids (2006).
Craig, Guyenne, Hammack, Henderson, Sulem

Collision 1: 17jun03
Water Surface Displacement (cm) vs. space (cm)
Dots: Data
Curves: Sum of two KdV solitons (fit in first frame)

Collision 2 (17june03)
Water Surface Displacement (cm) vs. space (cm)
Dots: Data
Curves: Sum of two KdV solitons (fit in first frame)
Note different vertical scale

Data Files for collisions

Surface Displacement - 1mar04

FOLLOWING COLLISION: 25-mar04

Surface Displacement - 17 jun 03

Input Parameters

Times for collision 1

Decay of a soliton in space
The wave reflects three times.
Dots: Data
Solid curve: exponential fit: a(x) = a_0 * Exp(-0.047 x) (a in cm; x in m)
Dashed curve: fit of (1/(A+b*x))

Data for figure

Movies

Exp: 17 june 03 (Quicktime--animation)

Exp: 3june 03 (AVI movie)