The present investigation reports the existence of a one-dimensional (
1-D) shock wave profile for a weakly nonlinear modified acoustic-like/
dust-acoustic waves. Here, unlike in the conventional plasma systems,
the dissipative effect to balance the nonlinear steepening arises self
-consistently due to dust charge fluctuation dynamics in response to t
he collective plasma oscillations, The possibility of other localized
coherent structures like dissipative/dispersive solitons in higher-ord
er solutions has been highlighted, Its implications in laboratory and
space plasmas are discussed. (C) 1995 American Institute of Physics.