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Trapped solitary waves over an uneven bottom Full article

Journal European Physical Journal Plus
ISSN: 2190-5444
Output data Year: 2020, Volume: 135, Article number : 673, Pages count : 16 DOI: 10.1140/epjp/s13360-020-00673-5
Authors Denisenko D.S. 1,2 , Makarenko N.I. 1,2
Affiliations
1 Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia
2 Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: Steadytwo-dimensionalsurfacewavesonanidealirrotationalfluidoveracomplex multi-bumped topography are studied analytically in the case when the far upstream flow is slightly supercritical. Fully nonlinear equations are formulated via the von Mises variables that parametrize the bundle of streamlines in the flow over obstacles. For a given smallheight topography, we construct approximate two-parametric solution sets which approach the branches of solitary waves as the typical height of the obstacle vanishes.
Cite: Denisenko D.S. , Makarenko N.I.
Trapped solitary waves over an uneven bottom
European Physical Journal Plus. 2020. V.135. 673 :1-16. DOI: 10.1140/epjp/s13360-020-00673-5 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: May 31, 2020
Accepted: Aug 6, 2020
Published print: Aug 20, 2020
Published online: Aug 20, 2020
Identifiers:
Web of science: WOS:000564943100001
Scopus: 2-s2.0-85089590707
Elibrary: 45381640
OpenAlex: W3081508046
Citing:
DB Citing
Scopus 4
OpenAlex 5
Elibrary 4
Web of science 4
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