  Dust acoustic (DA) waves evolving into shocklets are investigated in the
Comet Halley plasma system relaxing to Maxwellian, Kappa and Cairns
distributions. Here dynamics of dust is described by the fully nonlinear
continuity and momentum equations. A set of two characteristic wave nonlinear
equations is obtained and numerically solved to examine the DA solitary pulse
which develops into oscillatory shocklets with the course of time such as at
time {\tau}=0, symmetric solitary pulses are formed, which develop into
oscillatory shocklets. It has been observed that variation in superthermality
strongly affects the profiles of nonlinear DA structures in terms of negative
potential, dust velocity and density.
