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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