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<article language="en">
	<journal>
		<journal_title>Nonlinear Processes  in Geophysics</journal_title>
		<journal_url>www.nonlin-processes-geophys.net</journal_url>
		<issn>1023-5809</issn>
		<eissn>1607-7946</eissn>
		<volume_number>14</volume_number>
		<issue_number>1</issue_number>
		<publication_year>2007</publication_year>
	</journal>
	<doi>10.5194/npg-14-31-2007</doi>
	<article_url>http://www.nonlin-processes-geophys.net/14/31/2007/</article_url>
	<abstract_html>http://www.nonlin-processes-geophys.net/14/31/2007/npg-14-31-2007.html</abstract_html>
	<fulltext_pdf>http://www.nonlin-processes-geophys.net/14/31/2007/npg-14-31-2007.pdf</fulltext_pdf>
	<start_page>31</start_page>
	<end_page>47</end_page>
	<publication_date>2007-01-30</publication_date>
	<article_title content_type="html">Models for strongly-nonlinear evolution of long internal waves in a two-layer stratification</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>T. Sakai</name>
			<email>tsakai@usc.edu</email>
		</author>
		<author numeration="2" affiliations="1">
			<name>L. G. Redekopp</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Department of Aerospace &amp; Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1191, USA</affiliation>
	</affiliations>
	<abstract content_type="html">Models describing the evolution of long internal waves are proposed
that are based on different polynomial approximations of the exact
expression for the phase speed of uni-directional, fully-nonlinear,
infinitely-long waves in the two-layer model of a density stratified
environment.  It is argued that a quartic KdV model, one that
employs a cubic polynomial fit of the separately-derived, nonlinear
relation for the phase speed, is capable of describing the evolution
of strongly-nonlinear waves with a high degree of fidelity.
The marginal gains obtained by generating higher-order,
weakly-nonlinear extensions to describe strongly-nonlinear evolution
are clearly demonstrated, and the limitations of the quite
widely-used quadratic-cubic KdV evolution model obtained via a
second-order, weakly-nonlinear analysis are assessed.  Data are
presented allowing a discriminating comparison of evolution
characteristics as a function of wave amplitude and environmental
parameters for several evolution models.</abstract>
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</article>

