( 3 + 1 ) -dimensional generalized Johnson model for cosmic dust-ion-acoustic nebulons with symbolic computation

In a cosmic dusty plasma, both azimuthal and height perturbations of a nonplanar cylindrical geometry are considered. For dust-ion-acoustic waves and with symbolic computation, ( 3 + 1 ) -dimensional generalized Johnson [ ( 3 + 1 ) DGJ ] model is derived and analytic solutions are constructed. Supernova-shell-typed expanding bright ( 3 + 1 ) DGJ nebulons and Saturn-F-ring-type expanding dark ( 3 + 1 ) DGJ nebulons are both pictured and discussed. Essential difference of this letter from the existing literature is pointed out, with the relevant, possibly observable ( 3 + 1 ) DGJ -nebulonic structures for the future cosmic experiments proposed.