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In the present paper, the governing equations of generalized thermo-magneto-electro-elastic solid are formulated in one-dimension. The time-harmonic plane wave solution of these equations leads to a velocity equation, which shows the existence of two plane waves namely longitudinal and thermal waves. A particular example of LiNbO 3 is taken for numerical computation of the speeds of longitudinal and thermal waves. The effects of electric, magnetic and thermal parameters are shown graphically on the speeds of these plane waves.