Nonlinear Interaction of Capillary-Gravity Waves with a Subsonic Gas in the Presence of Magnetic Field

(Received 10 July 1996, revised 20 December 1996, received in final form 26 March 1997, accepted 27 March 1997)

Abstract
The method of multiple scales is used to analyse the nonlinear propagation of waves on the interface between a liquid and a subsonic gas in the presence of magnetic field taking into account surface tension. The evolution of the amplitude is governed by a nonlinear Schrödinger equation which gives the criterion for modulational instability. Numerical results are given in the graphical form.