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

¹  Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics - Beijing 100083, China
²  State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics - Beijing 100083, China
³  CCAST (World Lab.) - P. O. Box 8730, Beijing 100080, China
⁴  School of Science, P. O. Box 122, Beijing University of Posts and Telecommunications - Beijing 100876, China  (Mailing address for BT.)

Corresponding author: gaoyt@public.bta.net.cn

Received: 10 September 2006
Accepted: 6 November 2006

Abstract

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.