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Zapiski Nauchnykh Seminarov LOMI, 1980, Volume 99, Pages 64–73 (Mi znsl3298)  
This article is cited in 2 scientific papers (total in 2 papers)

Nonlinear longitudinal waves in inhomogeneous rods

I. A. Molotkov, S. A. Vakulenko
Full-text PDF (460 kB) Citations (2)
Abstract: The equation for longitudinal waves in bars taking into account of a nonlinearity, dispersion and inhomogeneity is obtained. This equation is the perturbed equation of Korteweg–de Vries. A perturbance method for solution of Cauchy problems for this equation is found. The obtained solution describes the soliton deformation under the influence of the bar inhomogeneity.
English version:
Journal of Soviet Mathematics, 1982, Volume 20, Issue 5, Pages 2434–2441
DOI: https://doi.org/10.1007/BF01087290
Bibliographic databases:
UDC: 534.222+517.958
Language: Russian
Citation: I. A. Molotkov, S. A. Vakulenko, “Nonlinear longitudinal waves in inhomogeneous rods”, Interference waves in layered media. Part I, Zap. Nauchn. Sem. LOMI, 99, "Nauka", Leningrad. Otdel., Leningrad, 1980, 64–73; J. Soviet Math., 20:5 (1982), 2434–2441
Citation in format AMSBIB
\Bibitem{MolVak80}
\by I.~A.~Molotkov, S.~A.~Vakulenko
\paper Nonlinear longitudinal waves in inhomogeneous rods
\inbook Interference waves in layered media. Part~I
\serial Zap. Nauchn. Sem. LOMI
\yr 1980
\vol 99
\pages 64--73
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3298}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=595333}
\zmath{https://zbmath.org/?q=an:0486.73056}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 20
\issue 5
\pages 2434--2441
\crossref{https://doi.org/10.1007/BF01087290}
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  • https://www.mathnet.ru/eng/znsl/v99/p64
    • 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
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