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Journal of engineering physics

, Volume 60, Issue 5, pp 626–631 | Cite as

Solitary waves in a thermo-elastic medium

  • M. D. Martynenko
  • Nguyen Dang Bik
Article
  • 15 Downloads

Abstract

Using a one-dimensional model, we study conditions for the appearance of solitary waves in a thermo-elastic medium as a function of the nonlinear nature of heat conduction, temperature, and thermal expansion coefficient. Two conditions for the appearance of solitary waves are examined, one of which has a physical meaning and therefore confirms the fact of the existence of solitons in a thermo-elastic medium. Geometric characteristics of solitons, their speed, amplitude, and width, are obtained.

Keywords

Statistical Physic Soliton Thermal Expansion Heat Conduction Expansion Coefficient 
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.

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Literature cited

  1. 1.
    Yu. K. Engel'brekht and U. K. Nigul, Nonlinear Waves of Deformation [Russian translation], Moscow (1981).Google Scholar
  2. 2.
    W. Nowacki, Theory of Elasticity [Russian translation], Moscow (1975).Google Scholar
  3. 3.
    R. Dodd, J. Eilbeck, J. Gibbon, and H. Morris, Solitons and Nonlinear Wave Equations [Russian translation], Moscow (1988).Google Scholar
  4. 4.
    H. Bateman and A. Erdelyi, Higher Transcendental Functions, McGraw-Hill, New York (1953).Google Scholar

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • M. D. Martynenko
    • 1
  • Nguyen Dang Bik
    • 1
  1. 1.V. I. Lenin Belorussian State UniversityMinsk

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