  We consider evolution of wave pulses with formation of dispersive shock waves
in framework of fully nonlinear shallow-water equations. Situations of initial
elevations or initial dips on the water surface are treated and motion of the
dispersive shock edges is studied within the Whitham theory of modulations.
Simple analytical formulas are obtained for asymptotic stage of evolution of
initially localized pulses. Analytical results are confirmed by exact numerical
solutions of the fully nonlinear shallow-water equations.
