On the non-planar dust-ion-acoustic waves in cosmic dusty plasmas with transverse perturbations

Dust-ion-acoustic waves in a cosmic dusty plasma is investigated, in spherical geometry with both azimuthal and zenith perturbations existing. (3+1)-dimensional spherical Kadomtsev-Petviashvili ((3+1)DsKP) model is constructed with symbolic computation, 4th-ordered and with variable coefficients. Auto-Bäcklund transformation and (3+1)DsKP nebulons are analytically obtained for such a generic model. Astromechanical and physical implications are discussed, of the supernova-shell-type expanding bright and Saturn-F-ring-type expanding dark (3+1)DsKP nebulons. Possibly observable nebulonic effects are proposed for future cosmic experiments.