Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin-Ono equation
Article
Article Title | Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin-Ono equation |
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ERA Journal ID | 352 |
Article Category | Article |
Authors | Grimshaw, R. H. J. (Author), Smyth, N. F. (Author) and Stepanyants, Y. A. (Author) |
Journal Title | Physica D: Nonlinear Phenomena |
Journal Citation | 419, pp. 1-10 |
Article Number | 132861 |
Number of Pages | 10 |
Year | 2021 |
Place of Publication | Netherlands |
ISSN | 0167-2789 |
1872-8022 | |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.physd.2021.132867 |
Web Address (URL) | https://www.sciencedirect.com/science/article/abs/pii/S0167278921000257 |
Abstract | The interaction of a solitary wave with a long background periodic wave in a deep ocean is studied within the framework of the rotation modified Benjamin-Ono equation. Using a multiple scales analysis, we find stationary and nonstationary solutions for a Benjamin-Ono soliton trapped within a long sinusoidal wave. We show that the radiation losses experienced by the soliton and caused by the Earth’s rotation can be compensated by energy pumping from the background wave. However, the feedback of the soliton on the background wave eventually leads to the destruction of the coherent structure and energy dispersion in a quasi-random wave field. Estimates of the characteristic parameters of the soliton dynamics are presented for real oceanic conditions. |
Keywords | Rotating fluid; Internal wave; Soliton |
ANZSRC Field of Research 2020 | 370803. Physical oceanography |
490109. Theoretical and applied mechanics | |
510399. Classical physics not elsewhere classified | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | School of Sciences |
University of Edinburgh, United Kingdom | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q63z8/interaction-of-internal-solitary-waves-with-long-periodic-waves-within-the-rotation-modified-benjamin-ono-equation
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