Energy Exchange Between Nonlinear Waves in Elastic Waveguides and External Media

  • A. M. Samsonov
  • E. V. Sokurinskaya
Part of the Research Reports in Physics book series (RESREPORTS)


The initial-boundary value problem of the propagation of nonlinear longitudinal elastic waves in an initially strained rod is considered. The rod is assumed to interact with the surrounding elastic and viscous or active external medium. The analytical solutions are derived and briefly discussed.


Travel Wave Solution Burger Equation Exact Travel Wave Solution Kink Wave Nonlinear Wave Propagation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Samsonov A.M Existence and amplification of solitary strain waves in non-linearly elastic waveguides. A.F.Ioffe Phys.Techn.Inst., Preprint No.1259, 1988, Leningrad, 23 p. (in Russian).Google Scholar
  2. 2.
    Kerr A.D. Elastic and viscoelastic foundation models. J.Appl.Mech., 1964, E31, 491–498.ADSCrossRefGoogle Scholar
  3. 3.
    Samsonov A.M. On existence of longitudinal strain solitons in an infinite nonlinearly elastic rod. Doklady AN SSSR, 1988, 299, 5, 1083–1086 (in Russian)MathSciNetGoogle Scholar
  4. 4.
    Ince E. Ordinary Differential Equation. N.Y., Dover, 1964, 526 p.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • A. M. Samsonov
    • 1
  • E. V. Sokurinskaya
    • 1
  1. 1.Department of Mathematical Physics, A.F. Ioffe Physcial Technical InstituteUSSR Acad. Sci.LeningradUSSR

Personalised recommendations