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Preprints of the Keldysh Institute of Applied Mathematics, 2014, 073, 32 pp. (Mi ipmp1925)  

This article is cited in 2 scientific papers (total in 2 papers)

Methods of investigation of solitary waves and reversible shock structures in elastic tubes

I. B. Bakholdin
Full-text PDF (986 kB) Citations (2)
References:
Abstract: The paper is devoted to methods of calculation and analysis of solutions of equations of elastic tube with controlled pressure and for tube filled by fluid. Membrane model and plate model are used for tube. Methods of numerical analysis are applied. Boussinesq equation is used for description of waves in the region near the instability of homogeneous states and for verification of numerical methods also. Solitary waves and shocks for this equation are investigated. Then the same methods are used for complete equations. Solitary waves and reversible shocks (generalized kinks) are investigated. Method based on calculation of eigenfunction is used for investigation of stability of solitary waves. Methods of general theory of reversible shocks are used for investigation of kinks.
Keywords: tube, elasticity, controlled pressure, fluid, dispersion, nonlinearity, solitary wave, kink, shock structure, numerical analysis.
Document Type: Preprint
UDC: 534.1+539.3+532.59+517.9+519.6
Language: Russian
Citation: I. B. Bakholdin, “Methods of investigation of solitary waves and reversible shock structures in elastic tubes”, Keldysh Institute preprints, 2014, 073, 32 pp.
Citation in format AMSBIB
\Bibitem{Bak14}
\by I.~B.~Bakholdin
\paper Methods of investigation of solitary waves and reversible shock structures in elastic tubes
\jour Keldysh Institute preprints
\yr 2014
\papernumber 073
\totalpages 32
\mathnet{http://mi.mathnet.ru/ipmp1925}
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  • https://www.mathnet.ru/eng/ipmp1925
  • https://www.mathnet.ru/eng/ipmp/y2014/p73
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Abstract page:137
    Full-text PDF :108
    References:33
     
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