| In this paper, the transient waves in two-layered fluid with background current are examined in detail by means of Laplace-Fourier transformation, velocity potentials and the solutions of the associated elevations of the interfacial waves and surface waves are presented based on the small amplitude wave theory; Here we discuss the conclusions, and analyse the approximate dispersion relations, also obtain the relation between the velocitys of two-layered fluid. Then this means are applied in the waves caused by submarine earthquake. |