The beat-wave accelerator is a promising candidate for accelerating electrons to relativistic energies in very short distances. Hence, in this paper, based on the fluid model coupled with Maxwell equations and obtaining a nonlinear plasma wave equation, we study the evolution of large‐amplitude wakefield excited by the beating of two laser beams in an axially and radially inhomogeneous plasma channel. We numerically solve the nonlinear wave equation by the finite difference method (FDM) in cylindrical coordinates. We also discuss the excitation of wakefield and the possibility of electron acceleration by taking into account three profiles of preformed density-ramped plasma channels. The results showed that the wakefield amplitude in the preformed plasma channel is much stronger than the inhomogeneous plasma with a density-ramped profile. The results also indicated that the wakefield amplitude in the parabolic-radial density profile and exponential-radial density is, respectively, higher than in the linear-radial density profile.