Eur. Phys. J. D 33, 59-65 (2005)
https://doi.org/10.1140/epjd/e2005-00036-6

Spherical nebulons and Bäcklund transformation for a space or laboratory un-magnetized dusty plasma with symbolic computation

¹ School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, 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 Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

Received: 25 January 2005
Revised: 18 February 2005
Published online: 11 April 2005

Abstract

Plasmas and dust are a couple of the ubiquitous elements of the Universe. The nonlinear dust-acoustic-wave propagation in a space or laboratory un-magnetized dusty plasma is hereby considered, which is described by a spherical Kadomtsev-Petviashvili equation. By virtue of computerized symbolic computation, we obtain the analytically-expressed spherical nebulons and an auto-Bäcklund transformation for the electrostatic potential in such a plasma. With figures, we discuss the features of the nebulon structures, and propose some (3+1)-dimensional, possibly-observable nebulonic effects for the future space/laboratory plasma experiments.