Decay of Benjamin - Ono solitons under the influence of dissipation
Roger H. Grimshaw, Noel F. Smyth, Yury A. Stepanyants
TL;DR
This paper investigates how Benjamin-Ono solitons decay under small dissipation effects like Rayleigh, Reynolds, Landau damping, boundary layer, and Chezy friction, providing analytical decay laws and numerical validation.
Contribution
It presents analytical decay laws for Benjamin-Ono solitons considering various dissipation mechanisms, supported by numerical simulations.
Findings
Decay laws for soliton amplitude, velocity, and width derived analytically.
Numerical results confirm the analytical decay laws.
Different dissipation types influence soliton decay rates distinctly.
Abstract
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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