Symmetry groups and group-invariant solutions of 3D non-linear thermoelasticity

The purpose of the present work is the investigation of the symmetry groups of the pde’s describing the non-linear threedimensional thermoelasticity. The set of the free energy functions conformed to the obtained group symmetries is studied. Also, some particular group-invariant solutions associated with the obtained symmetries are examined. The methodology and solution techniques used in this paper belong totally to the analytical realm.