Internal solitons in the ocean

Apel, John R. and Ostrovsky, Lev A. and Stepanyants, Yury A. ORCID: https://orcid.org/0000-0003-4546-0310 and Lynch, James F. (2006) Internal solitons in the ocean. Technical Report. Woods Hole Oceanographic Institution , Woods Hole, MA. United States. [Report]

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Abstract

Nonlinear internal waves in the ocean are discussed (a) from the standpoint of soliton theory and (b) from the viewpoint of experimental measurements. First, theoretical models for internal solitary waves in the ocean are briefly described. Various nonlinear analytical solutions are treated, commencing with the well-known Boussinesq and Korteweg–de Vries equations. Then certain generalizations are considered, including effects of cubic nonlinearity,
Earth's rotation, cylindrical divergence, dissipation, shear flows, and others. Recent theoretical models for strongly nonlinear internal waves are outlined. Second, examples of experimental evidence for the existence of solitons in the upper ocean are presented; the data include radar and optical images and in situ measurements of waveforms, propagation speeds, and dispersion characteristics. Third, and finally, action of internal solitons on sound wave propagation is discussed.
This review paper is intended for researchers from diverse backgrounds, including acousticians, who may not be familiar in detail with soliton theory. Thus, it includes an outline of the basics of soliton theory. At the same time, recent theoretical and observational results are described which can also make this review useful for mainstream oceanographers and theoreticians.


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Item Type: Report (Technical Report)
Item Status: Live Archive
Additional Information: Approved for public release; distribution unlimited. Woods Hole Oceanogr. Inst. Tech. Rept., WHOI-2006-04
Faculty/School / Institute/Centre: Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Faculty/School / Institute/Centre: Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Date Deposited: 25 May 2010 13:23
Last Modified: 15 Feb 2021 23:33
Uncontrolled Keywords: solitons
Fields of Research (2008): 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
04 Earth Sciences > 0405 Oceanography > 040503 Physical Oceanography
02 Physical Sciences > 0203 Classical Physics > 020301 Acoustics and Acoustical Devices; Waves
Fields of Research (2020): 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401207 Fundamental and theoretical fluid dynamics
37 EARTH SCIENCES > 3708 Oceanography > 370803 Physical oceanography
51 PHYSICAL SCIENCES > 5103 Classical physics > 510301 Acoustics and acoustical devices; waves
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
URI: http://eprints.usq.edu.au/id/eprint/5719

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