NONLINEAR MODEL COUPLING OF BUBBLE OSCILLATIONS

We extend a second order theory of Longuer-Higgins on the excitation of isotropic bubble oscillations by an anisotropic mode. Our attention is focused on the resonant interaction where the energy exchange between two modes is strong enough so that both can attain comparable amplitudes. We show that the modecoupling equations resemble those known in other physics. Two special solutions are discussed. The fixed points and their stabilities are considered.