Two-Dimensional Interaction of Internal Solitary Waves in a Two-Layer Fluid
Two-Dimensional Interaction of Internal Solitary Waves in a Two-Layer Fluid
复制标题
两层流体中内孤立波的二维相互作用
DOI：
10.1143/jpsj.62.3881
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发表时间：
1993
影响因子：
1.7
通讯作者：
M. Oikawa
中科院分区：
文献类型：
--
作者：
H. Tsuji;M. Oikawa
本文研究了两层流体中内孤立波的二维相互作用，其中两层流体的厚度比接近于某一临界值，而临界值取决于密度比。它由修正的Kadomtsev-Petviashvili（MKP）方程描述，假设波的传播方向彼此接近。对MKP方程进行了数值研究，发现当振幅较小时，存在几乎满足孤子共振条件的相互作用。这种相互作用在性质上类似于Kadomtsev-Petviashvili（KP）方程中的孤子共振，只是可以看到新产生的波和辐射的变形。
Two-dimensional interaction of internal solitary waves is studied for a two-layer fluid with a thickness ratio close to a certain critical one depending on the density ratio. It is described by a Modified Kadomtsev-Petviashvili (MKP) equation, provided the propagation directions of the waves are close to each other. The MKP equation is investigated numerically and it is found that the interaction almost satisfying the condition of soliton resonance occurs when the wave amplitudes are small. The interaction is qualitatively similar to the soliton resonance in the Kadomtsev-Petviashvili (KP) equation except that a deformation of the newly generated waves and a radiation can be seen.