Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation

Plasmas and dust exist almost everywhere in the Universe. For the dust ion-acoustic waves with zenith-angle perturbation, a spherical Kadomtsev-Petviashvili equation is derived with symbolic computation. Spherical structures of the expanding dark nebulon, shrinking dark nebulon, expanding bright nebulon and shrinking bright nebulon are symbolically obtained and discussed. Possibly-observable nebulonic effects for the future space and laboratory plasma experiments are proposed.