论文标题
在存在电流的情况下，内波的中间长波传播
On the intermediate long wave propagation for internal waves in the presence of currents
论文作者
论文摘要
在中间长波近似情况下，研究了内波的波动模型。下层更深，密度高于上层。假定平坦的表面近似。液体不可压缩且无粘性。模型方程是从在深度变化电流存在下的动力学的哈密顿公式获得的。结果表明，适当的缩放会导致可集成的中间长波方程（ILWE）。也提出了导致Benjamin-Ono和KDV方程的ILWE的两个限制。
A model for the wave motion of an internal wave in the presence of current in the case of intermediate long wave approximation is studied. The lower layer is considerably deeper, with a higher density than the upper layer. The flat surface approximation is assumed. The fluids are incompressible and inviscid. The model equations are obtained from the Hamiltonian formulation of the dynamics in the presence of a depth-varying current. It is shown that an appropriate scaling leads to the integrable Intermediate Long Wave Equation (ILWE). Two limits of the ILWE leading to the integrable Benjamin-Ono and KdV equations are presented as well.
