A new approach for finding nonlinear shock wave solution in a dusty plasma

We first outlined the developments of tractable nonlinear wave equation in the form of Burger's equation in plasma contaminated by the heavy dust grain as called dusty plasma. Hence a new approach of travelling wave solution method has been applied to solve the Burger's equation and highlighted nonlinear shock-wave formation causeway from the dust charge fluctuation in plasma. The technique has though its own limitation but analysis predicts successfully the salient features of the weak shock-wave structure in plasma which in turns might be of interest to explore in laboratory and space plasmas. (author)