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On the traveling wave solutions for a parabolic–hyperbolic system in linear thermoelasticity
Journal article   Peer reviewed

On the traveling wave solutions for a parabolic–hyperbolic system in linear thermoelasticity

Lazhar Bougoffa
Applied mathematics and computation, Vol.215(2), pp.850-853
15/09/2009
DOI: https://doi.org/10.1016/j.amc.2009.05.030

Abstract

Coupled system Parabolic–hyperbolic system Traveling wave solutions
In this paper, the parabolic–hyperbolic system of linear thermoelasticity with variable coefficients is transformed into a system of two coupled equations. We discuss first the conditions which govern this separation in the case of a system of two coupled equations for which a general result on the separability is formulated. It is then shown that the explicit traveling wave solutions are obtained in the exact form.

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