Cylindrical Kadomtsev–Petviashvili model, nebulons and symbolic computation for cosmic dust ion-acoustic waves

Dusty plasmas have been found almost everywhere in the Universe. In such cosmic dusty-plasma environments as the supernova shells and Saturn's F-ring, a cylindrical Kadomtsev–Petviashvili model is derived with symbolic computation for the dust ion-acoustic waves with azimuthal perturbation. Cylindrical nebulon structures are symbolically obtained, including the supernova-shell-typed expanding and shrinking bright nebulons and Saturn's-F-ring-typed expanding and shrinking dark nebulons. Possibly-observable nebulonic effects for the future cosmic plasma experiments are proposed.