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Numerical modelling of the 3D nonlinear wakefield excited by a short laser pulse in a plasma channel

In order to solve the nonlinear nonstationary system of partial differential equations, which describes the wakefield in a plasma channel, we propose a difference scheme and an iterative algorithm for realizing it. We compare the results of numerical modelling with those of the linear theory. The results obtained are of interest for the analysis of highly nonlinear phenomena.