Nonlinear spectra of shallow water waves

Giovanangeli, J. -P. and Kharif, C. and Raj, N. and Stepanyants, Y. (2013) Nonlinear spectra of shallow water waves. In: Oceans - San Diego, 2013, 23-26 Sep 2013, San Diego, CA. United States.


The problem of spectra interpretation of nonlinear shallow water waves is studied in terms of interacting Korteweg–de Vries (KdV) solitons and quasi-linear wavetrains. The method of data processing of random wave field is suggested and illustrated by an example. The soliton component obscured in the random wave field can be determined either on the basis of the inverse scattering method or by direct numerical solution of the KdV equation. The distribution function of number of solitons on amplitudes was constructed for the illustrative example. The relevance of the suggested approach to field measurements is discussed.

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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2013 MTS.
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 24 Feb 2014 11:08
Last Modified: 22 Dec 2015 05:37
Uncontrolled Keywords: shallow water; wind waves; random wave field; wave spectra; solitons; numerical modelling; laboratory experiments
Fields of Research : 01 Mathematical Sciences > 0105 Mathematical Physics > 010599 Mathematical Physics not elsewhere classified
02 Physical Sciences > 0299 Other Physical Sciences > 029999 Physical Sciences not elsewhere classified
01 Mathematical Sciences > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010399 Numerical and Computational Mathematics not elsewhere classified
04 Earth Sciences > 0405 Oceanography > 040503 Physical Oceanography
Socio-Economic Objective: D Environment > 96 Environment > 9699 Other Environment > 969902 Marine Oceanic Processes (excl. Climate Related)

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