Beyond the KdV: post-explosion development
Article
Article Title | Beyond the KdV: post-explosion development |
---|---|
ERA Journal ID | 87 |
Article Category | Article |
Authors | Ostrovsky, L. (Author), Pelinovsky, E. (Author), Shrira, V. (Author) and Stepanyants, Y. (Author) |
Journal Title | Chaos: an interdisciplinary journal of nonlinear science |
Journal Citation | 25 (9), pp. 1-13 |
Number of Pages | 13 |
Year | 2015 |
Place of Publication | United States |
ISSN | 1054-1500 |
1089-7682 | |
Digital Object Identifier (DOI) | https://doi.org/10.1063/1.4927448 |
Web Address (URL) | http://scitation.aip.org/content/aip/journal/chaos/25/9/10.1063/1.4927448 |
Abstract | Several threads of the last 25 years’ developments in nonlinear wave theory that stem from the classical Korteweg–de Vries (KdV) equation are surveyed. The focus is on various generalizations of the KdV equation which include higher-order nonlinearity, large-scale dispersion, and a nonlocal integral dispersion. We also discuss how relatively simple models can capture strongly nonlinear dynamics and how various modifications of the KdV equation lead to qualitatively new, non-trivial solutions and regimes of evolution observable in the laboratory and in nature. As the main physical example, we choose internal gravity waves in the ocean for which all these models are applicable and have genuine importance. We also briefly outline the authors’ view of the future development of the chosen lines of nonlinear wave theory. |
Keywords | nonlinear model; water wave; solitary wave; modulation; breather; KdV equation; dispersion |
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. |
Byline Affiliations | Russian Academy of Sciences, Russia |
Nizhny Novgorod State Technical University, Russia | |
Keele University, United Kingdom | |
School of Agricultural, Computational and Environmental Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q30q8/beyond-the-kdv-post-explosion-development
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