Nonlinear capillary-gravity waves under an edge condition

The objective of this paper is to investigate the forced motion of nonlinea r capillary-gravity waves in a waterfilled circular basin by a harmonic vib ration applied to its side wall under Evans's or Hocking's edge condition a t a contact line. The forcing frequency is near a resonance frequency under the classical edge condition of the basin. Two complex-amplitude equations for the excited eigenmode at the resonance frequency corresponding to thes e two edge conditions are derived. The solutions to these equations display quite different behavior and an edge condition indeed has a great influenc e on the excited surface waves.