变底界面internal waves的Hamilton方法
Hamiltonian approach to modelling interfacial internal waves over variable bottom
摘要：
本文研究了在层结和下垫面非均匀流存在的情况下，不均匀底对内波传播的影响。因此，所提出的模型将涡量（波流相互作用），地球物理效应（科里奥利力）和一个可变的水深。上述物理情况的一个例子是在赤道暗流（EUC）存在下的赤道内波。我们发现，界面（物理上与温跃层和密度跃层重合）在长波近似下满足一个变系数KdV-mKdV型方程。对孤子在不同深度上的传播引起的孤子分裂效应进行了数值分析和研究。
英文摘要：
We study the effects of an uneven bottom on the internal wave propagation in the presence of stratification and underlying non-uniform currents. Thus, the presented models incorporate vorticity (wave-current interactions), geophysical effects (Coriolis force) and a variable bathymetry. An example of the physical situation described above is well illustrated by the equatorial internal waves in the presence of the Equatorial Undercurrent (EUC). We find that the interface (physically coinciding with the thermocline and the pycnocline) satisfies in the long wave approximation a KdV-mKdV type equation with variable coefficients. The soliton propagation over variable depth leads to effects such as soliton fission, which is analysed and studied numerically as well.
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