Nonlinear Waves in a Rotating Ocean (The Ostrovsky Equation and Its Generalizations and Applications)

Stepanyants, Yury (2020) Nonlinear Waves in a Rotating Ocean (The Ostrovsky Equation and Its Generalizations and Applications). Izvestiya, Atmospheric and Oceanic Physics, 56 (1). pp. 16-32. ISSN 0001-4338


Abstract

This review presents theoretical, numerical, and experimental results of a study of the structure and dynamics of weakly nonlinear internal waves in a rotating ocean accumulated over the past 40 years since the time when the approximate equation, called the Ostrovsky equation, was derived in 1978. The relationship of this equation with other well-known wave equations, the integrability of the Ostrovsky equation, and the condition for the existence of stationary solitary waves and envelope solitary waves are discussed. The adiabatic dynamics of Korteweg–de Vries solitons in the presence of fluid rotation is described. The mutual influence of the ocean inhomogeneity and rotation effect on the dynamics of solitary waves is considered. The universality of the Ostrovsky equation as applied to waves in other media (solids, plasma, quark-gluon plasma, and optics) is noted.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Files associated with this item cannot be displayed due to copyright restrictions.
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sept 2019 -)
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sept 2019 -)
Date Deposited: 23 Jun 2020 03:10
Last Modified: 27 Jul 2020 00:42
Uncontrolled Keywords: Surface and internal waves; rotating fluid; solitary waves; solitons; integrable equations
Fields of Research (2008): 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
04 Earth Sciences > 0405 Oceanography > 040503 Physical Oceanography
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970104 Expanding Knowledge in the Earth Sciences
Identification Number or DOI: 10.1134/S0001433820010077
URI: http://eprints.usq.edu.au/id/eprint/38045

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