Dynamics and the characteristics behaviour of soliton propagation in dusty plasmas

Formation of various solitary waves in a plasma contaminated with dust charged grain have been investigated. Based on pseudopotential analysis, nonlinear Sagdeev potential equation has been derived, from where acoustic modes describing the soliton propagation in dusty plasma have been highlighted. Moreover, for showing the formation of different features of solitons, Sagdeev potential has been expanded due to which different nonlinear wave equations have been formed. It has been shown that the controlling of dust charge composition expects the coexistence of solitons, double layer or shock-like wave along with other nonlinear waves. The catchy of the present investigation has been emphasized to a modified formalism, called tanh-method, in finding the soliton solution from nonlinear wave equations. The success of using tanh-method derives soliton propagation from the Sagdeev potential equation in dusty plasma. Further, other nonlinear modes have been shown which enable to predict the collapse along with the conditions required for its existence.