Decay of Benjamin–Ono solitons under the influence of dissipation
Article
Article Title | Decay of Benjamin–Ono solitons under the influence of dissipation |
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ERA Journal ID | 1302 |
Article Category | Article |
Authors | Grimshaw, Roger H. (Author), Smyth, Noel F. (Author) and Stepanyants, Yury A. (Author) |
Journal Title | Wave Motion |
Journal Citation | 78, pp. 98-115 |
Number of Pages | 18 |
Year | 2018 |
Publisher | Elsevier |
Place of Publication | Netherlands |
ISSN | 0165-2125 |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.wavemoti.2018.01.005 |
Web Address (URL) | https://www.sciencedirect.com/science/article/pii/S0165212518300131 |
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. |
Keywords | internal wave; Benjamin–Ono equation; soliton; Rayleigh dissipation; Reynolds dissipation; Landau damping; Chezy friction; rotating fluid; adiabatic decay |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
370803. Physical oceanography | |
490109. Theoretical and applied mechanics | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | University College London, United Kingdom |
University of Edinburgh, United Kingdom | |
School of Agricultural, Computational and Environmental Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q4906/decay-of-benjamin-ono-solitons-under-the-influence-of-dissipation
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