On solition-like thermoelastic waves

Abstract

IN paper [1] a low-temperature nonlinear themoelastic model has been proposed in which one - dimensional soliton - like waves may propagates. Both exact and asymptotic solutions to the nonlinear governing equations have been obtained there. In the present paper a futher study of the one - dimensional model is given. A new approximation to the nonlinear governing equations is postulated,and two implicitform soliton - like solutions valid in a neighborhood of thermodynamical equlibrium are obtained. The two solutions are less restrictive than the asymptotic solutions from [1], and one of them corresponds to a slow quasi - thermal wave while the other matches a fast quasi - mechanical wave.