耗散影响下Benjamin-Ono孤子的衰减
Decay of Benjamin - Ono solitons under the influence of dissipation
摘要：
研究了Benjamin-Ono代数孤子在各种小耗散和大尺度Coriolis色散引起的辐射损耗影响下的绝热衰减。研究了物理上最重要的耗散，Rayleigh和Reynolds耗散，Landau阻尼，层流边界层中的耗散和粗糙底上的Chezy摩擦。孤子参数，即振幅，速度和宽度的衰减规律，被发现在解析形式，并与直接数值模拟的结果进行比较。
英文摘要：
The adiabatic decay of Benjamin - Ono algebraic solitons is studied when the influence of various types of small dissipation and radiative losses due to large scale Coriolis dispersion are taken into consideration. The physically most important dissipations are studied, Rayleigh and Reynolds dissipation, Landau damping, dissipation in a laminar boundary layer and Chezy friction on a rough bottom. The decay laws for the soliton parameters, that is amplitude, velocity and width, are found in analytical form and are compared with the results of direct numerical modelling.
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