“…associated with the propagation of dust-acoustic waves (DAWs) has become one of the most important research topics in dusty plasma physics due to the important role not only in astrophysics space plasmas [1][2][3][4], but also in understanding the properties of laboratory plasmas [5,6]. Over the years, many investigations have been carried out on the nonlinear structures of DAWs in a dusty plasma physics, especially dust acoustic (DA) solitary waves, and double layers (DLs) [7][8][9][10][11][12][13][14][15][16][17][18]. Some of these investigations were limited to the framework of Sagdeev's approach (which is valid for large amplitude solitary waves) [11][12][13][14][16][17][18][19], while the other investigations are confined to the framework of modify Korteweg-de Vries (MKdV) equation [7,16,18], which is valid for small amplitude limit, but not valid for a parametric regime, in which the nonlinear term coefficient for Korteweg-de Vries (KdV) equation equal zero.…”