The stability of internal solitary waves
The stability of internal solitary waves
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内孤立波的稳定性
DOI：
--
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发表时间：
1983
影响因子：
0.8
通讯作者：
J. Bona
中科院分区：
文献类型：
--
作者：
D. Bennett;R. W. Brown;S. Stansfield;J. Stroughair;J. Bona
发展了一种理论，研究了Benjamin-Ono方程孤立波解的稳定性。该方程由Benjamin（5）推导出，作为不可压缩非扩散非均匀流体中内波传播的模型，其中密度仅在厚度远小于总深度的层内不恒定。在他的文章中，本杰明以封闭形式写出了他的模型方程的单参数孤波解族，其稳定性将是目前关注的焦点。
A theory is developed relating to the stability of solitary-wave solutions of the so-called Benjamin-Ono equation. This equation was derived by Benjamin (5) as a model for the propagation of internal waves in an incompressible non-diffusive heterogeneous fluid for which the density is non-constant only within a layer whose thickness is much smaller than the total depth. In his article, Benjamin wrote in closed form the one-parameter family of solitary-wave solutions of his model equation whose stability will be the focus of attention presently.