Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2006, Volume 83, Issue 5, Pages 241–245 (Mi jetpl1257)  
This article is cited in 5 scientific papers (total in 5 papers)

NONLINEAR DYNAMICS

Bifurcations and stability of internal solitary waves

D. S. Agafontseva, F. Diasb, E. A. Kuznetsova

a L. D. Landau Institute for Theoretical Physics
b Centre de Mathématiques et de Leurs Applications, École normale supérieure de Cachan, 94235 Cachan cedex, France
Full-text PDF (711 kB) Citations (5)
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Abstract: We study both supercritical and subcritical bifurcations of internal solitary waves propagating along the interface between two deep ideal fluids. We derive a generalized nonlinear Schrödinger equation to describe solitons near the critical density ratio corresponding to transition from subcritical to supercritical bifurcation. This equation takes into account gradient terms for the four-wave interactions (the so-called Lifshitz term and a nonlocal term analogous to that first found by Dysthe for pure gravity waves) as well as the six-wave nonlinear interaction term. Within this model we find two branches of solitons and analyze their Lyapunov stability.
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Received: 02.02.2006
English version:
Journal of Experimental and Theoretical Physics Letters, 2006, Volume 83, Issue 5, Pages 201–205
DOI: https://doi.org/10.1134/S0021364006050043
Bibliographic databases:
Document Type: Article
PACS: 05.45.Yv, 47.55.-t, 47.90.+a
Language: English
Citation: D. S. Agafontsev, F. Dias, E. A. Kuznetsov, “Bifurcations and stability of internal solitary waves”, Pis'ma v Zh. Èksper. Teoret. Fiz., 83:5 (2006), 241–245; JETP Letters, 83:5 (2006), 201–205
Citation in format AMSBIB
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\vol 83
\issue 5
\pages 241--245
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\vol 83
\issue 5
\pages 201--205
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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