Interaction of solitons with long waves in a rotating fluid
Article
Article Title | Interaction of solitons with long waves in a rotating fluid |
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ERA Journal ID | 352 |
Article Category | Article |
Authors | Ostrovsky, L. A. (Author) and Stepanyants, Y. A. (Author) |
Journal Title | Physica D: Nonlinear Phenomena |
Journal Citation | 333, pp. 266-275 |
Number of Pages | 10 |
Year | 2016 |
Place of Publication | Netherlands |
ISSN | 0167-2789 |
1872-8022 | |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.physd.2016.02.008 |
Web Address (URL) | http://www.sciencedirect.com/science/article/pii/S0167278916000300 |
Abstract | Interaction of a soliton with long background waves is studied within the framework of rotation modified Korteweg -de Vries (rKdV) equation. Using the asymptotic method for solitons propagating in the field of a long background wave we derive a set of ODEs describing soliton amplitude and phase with respect to the background wave. The shape of the background wave may range from a sinusoid to the limiting profile representing a periodic sequence of parabolic arcs. We analyse energy exchange between a soliton and the long wave taking radiation losses into account. It is shown that the losses can be compensated by energy pumping from the long wave and, as the result, a stationary soliton can exist, unlike the case when there is no variable background. A more complex case when a free long wave attenuates due to the energy consumption by a soliton is also considered. Some of the analytical results are compared with the results of direct numerical calculations within the framework of the rKdV equation. |
Keywords | Rotating fluid, Soliton, Radiative losses, Terminal decay, Energy balance, Numerical calculations |
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 | National Oceanic and Atmospheric Administration, United States |
Computational Engineering and Science Research Centre | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q389x/interaction-of-solitons-with-long-waves-in-a-rotating-fluid
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