  The propagation of the dispersive shock waves (DSWs) is investigated in the
cylindrical Gardner (cG) equation, which is obtained by employing a similarity
reduction to the two space one time (2+1) dimensional
Gardner-Kadomtsev-Petviashvili (Gardner-KP) equation. We consider the step-like
initial condition along a parabolic front. Then, the cG-Whitham modulation
system, which is a description of DSW evolution in the cG equation, in terms of
appropriate Riemann type variables is derived. Our study is supported by
numerical simulations. The comparison is given between the direct numerical
solution of the cG equation and the DSW solution obtained from the numerical
solution of the Whitham system. According to this comparison, a good agreement
is found between the solutions.
