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
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.
PACS: 52.35.Mw – Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.) / 52.35.Sb – Solitons; BGK modes / 52.35.Fp – Electrostatic waves and oscillations (e.g., ion-acoustic waves) / 02.70.Wz – Symbolic computation (computer algebra) / 05.45.Yv – Solitons
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
