The effect of a magnetic field on finite amplitude surface capillary- gravity waves (Q1901576)

The nonlinear propagation of capillary-gravity waves on a conducting fluid of finite depth in the presence of a magnetic field is studied. The method of multiple-scale perturbations is used to obtain the nonlinear Schrödinger equation describing the behaviour of the perturbed system. The stability of the system is discussed, and the stability diagrams are obtained. It is shown that the effect of a magnetic field is of critical importance to the modulational instability of pure capillary waves.