water wave dispesion relations. goal: finding for . . . Variables: . The number of 's is 6-3=3. , , . Then so .

• specialize to surface waves: hk 1, then . Solution = sum of short and long surface wave solutions =
• specialize to long surface waves, then . then . (surface gravity waves 10cm) Calculation yields .
• specialize to short surface waves (gravity drops out) Calculation yields , so
• specialize to shallow water waves: and long waves, so then . By calculation, you get

Examples:

• deep water waves
• ship wakes
• shallow water waves

source psfile jl@crush.caltech.edu index shallow_water_wave deep_water_wave