The propagation of waves is a classic problem in the study of physics.The propagation of water waves has significant implications for dam construction and harnessing wave energy.This paper draws an analogy with the electromagnetic field equations.Combining physical principles,we deduce the shallow water equations.By applying the perturbation method,the shallow water equations are linearized,resulting in the dispersionrelation,which is experimentally validated.Subsequently,analogous to the derivation of electromagnetic wave propagation laws,the propagation laws of shallow water waves are obtained.Using the LaxWendroff scheme,the propagation of shallow water waves in water of varying depths is numerically simulated.The conclusion is that the propagation of shallow water waves ultimately follows lines perpendicular to lines of equal water depth.