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A two-dimensional nonlinear run up problem is studied for the special case of planar slopping bottom D(x,y) = x. We consider the Cauchy problem for two-dimensional shallow water equations. For the initial data we take linear wave generated by a localized source when it comes close to the shoreline. Asymptotics are constructed using perturbation theory and the Carrier–Greenspan transform for the coordinate x normal to the shoreline. Obtained formulas are explicit and can be easily computed using parametric defined functions. The work is supported by Russian Science Foundation (project 16-11-10282).