气泡振动的非线性耦合模型

我们推广了Longuet-Higgins关于各向同性气泡的非各向同性模式激发的二阶理论。着重注意“呼吸”模式和“变形”模式之间的相互作用,两个模式之间的能量交换足够强,以致于两个模式有同量级的振幅。文中指出:模式耦合的方程组类似于其他物理领域(如非线性光学、水波)所研究的方程组,并讨论了二种特解,考虑了平衡点及其稳定性。

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.