Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2011, Volume 93, Issue 8, Pages 469–472 (Mi jetpl1877)  
This article is cited in 11 scientific papers (total in 11 papers)

ATOMS, SPECTRA, RADIATIONS

New equation for the description of inelastic interaction of nonlinear localized waves in dispersive media

D. G. Arkhipovab, G. A. Khabakhpashevba

a Institute of Thermophysics, Siberian Branch of the Russian Academy of Science
b Novosibirsk State University
Full-text PDF (191 kB) Citations (11)
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Abstract: A wave equation for the simulation of nonlinear plane solitary perturbations of the free surface of a shallow fluid has been derived. In contrast to the modified Boussinesq equation, the new one correctly describes the interaction of counter-propagating small-amplitude waves. It has been shown analytically that collisions of solitons are inelastic even in the first-order perturbation theory and the nonlinear dynamics of such collisions is qualitatively different from that described by the modified Boussinesq equation.
Received: 16.02.2011
Revised: 09.03.2011
English version:
Journal of Experimental and Theoretical Physics Letters, 2011, Volume 93, Issue 8, Pages 423–426
DOI: https://doi.org/10.1134/S0021364011080042
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. G. Arkhipov, G. A. Khabakhpashev, “New equation for the description of inelastic interaction of nonlinear localized waves in dispersive media”, Pis'ma v Zh. Èksper. Teoret. Fiz., 93:8 (2011), 469–472; JETP Letters, 93:8 (2011), 423–426
Citation in format AMSBIB
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\paper New equation for the description of inelastic interaction of nonlinear localized waves in dispersive media
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2011
\vol 93
\issue 8
\pages 469--472
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\jour JETP Letters
\yr 2011
\vol 93
\issue 8
\pages 423--426
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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