The aim of this paper is to investigate magneto-thermo-viscoelastic su
rface waves in electrically and thermally conducting layers involving
time rates of strain and stress of order n, the media being under an i
nitial stress in the nature of hydrostatic tension or compression. The
theory of magneto-thermo-visco-elastic surface waves in the conductin
g medium involving strain rate and stress rate of nth order is derived
under initial stress. This theory is then employed to obtain wave vel
ocity equations in specific cases. Results obtained in the above cases
reduce to well-known classical results when additional fields are abs
ent.