  A viscous dusty plasma containing Kappa distributed electrons, positive warm
viscous ions and constant negatively charged dust grains with viscosity have
been considered to study the modes of dust ion acoustic waves (DIAWs)
theoretically and numerically. The derivations and basic features of shock and
solitary waves with different plasma parameters like Mach number, finite
temperature coefficient, unperturbed dust streaming velocity, kinematic
viscosity of dust etc. of this DIAWs mode have been performed. Considering the
dynamical equation from Korteweg de Vries(KdV) equation, a phase portrait has
been drawn and the position of saddle point or col. and center have also been
discussed. This type of dusty plasma can be found in celestial bodies. The
results of this research work can be applied to study the properties of DIAWs
in various astrophysical situations where Kappa distributive electrons are
present and careful modification of the same model can help us to understand
the nature of the DIAWs of laboratory plasma as well.
