Roles of Dust Grains on Electrostatic IA Shocks in Highly Nonlinear Dense Plasma With Degenerate Electrons

A rigorous theoretical investigation is made on the highly nonlinear propagation of electrostatic shock waves in degenerate dense two-fluid plasma with relativistic electrons and inertial ions with the additional negatively charged dust grains. 1-D evolution of electrostatic shock waves is found to exist in such a plasma system employing the reductive perturbation method. It is also found that a highly nonlinear wave can propagate in the system whose profiles are showed with the solution of modified Burgers' equation with the usual one. This is an unique finding among all the theoretical investigations made before whose probable implications are discussed in this investigation. The implications of the results obtained from this unique investigation in space and laboratory experiments are briefly discussed.