Kinematics of interacting solitons in two-dimensional space
Article
Article Title | Kinematics of interacting solitons in two-dimensional space |
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Article Category | Article |
Authors | Ostrovsky, L.A. (Author) and Stepanyants, Y. A. (Author) |
Journal Title | Russian Journal of Earth Science |
Journal Citation | 20, pp. 1-11 |
Article Number | ES4007 |
Number of Pages | 11 |
Year | 2020 |
Place of Publication | Russia |
Digital Object Identifier (DOI) | https://doi.org/10.2205/2020ES000735 |
Web Address (URL) | http://rjes.wdcb.ru/doi/2020ES000735-res.html |
Abstract | A simple kinematic approach to the description of the interaction between solitons is developed. It is applicable to both integrable and non-integrable two-dimensional models, including those commonly used for studying the surface and internal oceanic waves. This approach allows obtaining some important characteristics of the interaction between solitary waves propagating at an angle to each other. The developed theory is validated by comparison with the exact solutions of the Kadomtsev-Petviashvili equation and then applied to the observed interaction of solitary internal waves in a two-layer fluid within the two-dimensional Benjamin-Ono model. |
Keywords | Surface and internal waves; solitons; kinematic approach; Kadomtsev-Petviashvili equation; Benjamin-Ono equation; two-soliton solutions |
Contains Sensitive Content | Does not contain sensitive content |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
370803. Physical oceanography | |
490109. Theoretical and applied mechanics | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Institution of Origin | University of Southern Queensland |
Byline Affiliations | University of Colorado Boulder, United States |
School of Sciences |
https://research.usq.edu.au/item/q5w38/kinematics-of-interacting-solitons-in-two-dimensional-space
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