Solitary waves in a thermo-elastic medium
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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.
KeywordsStatistical Physic Soliton Thermal Expansion Heat Conduction Expansion Coefficient
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- 1.Yu. K. Engel'brekht and U. K. Nigul, Nonlinear Waves of Deformation [Russian translation], Moscow (1981).Google Scholar
- 2.W. Nowacki, Theory of Elasticity [Russian translation], Moscow (1975).Google Scholar
- 3.R. Dodd, J. Eilbeck, J. Gibbon, and H. Morris, Solitons and Nonlinear Wave Equations [Russian translation], Moscow (1988).Google Scholar
- 4.H. Bateman and A. Erdelyi, Higher Transcendental Functions, McGraw-Hill, New York (1953).Google Scholar