Solitary waves in dusty plasma with two dust species: Effects of dust size distributions

We study the effect of various dust particle size distributions on solitary waves in unmagnetized dusty plasma using the Korteweg–de Vries (KdV) equation. The current work demonstrates how various dust particle size distributions (e.g., polynomial and power-law distributions) affect the properties of solitary waves. Furthermore, solitary waves with different particle size distributions were found to have greater mass, width, and velocity than dusty plasma with average dust particle size. Compared to a dusty plasma with an average particle size, the amplitude of solitary waves is smaller when the dust particle size distribution is considered.