https://doi.org/10.1140/epjd/e2003-00210-x
Kadomtsev-Petviashvili (KP) Burgers equation in a dusty plasmas with non-adiabatic dust charge fluctuation
College of Physics and Electronic Engineering, Northwest Normal University,
Lanzhou 730070, P.R. China
Corresponding author: a xuejk@163.com
Received:
18
March
2003
Published online:
15
July
2003
The nonlinear dust acoustic waves in a dusty plasmas with the combined effects of non-adiabatic dust charge fluctuation and higher-order transverse perturbation are studied. Using the perturbation method, a Kadomtsev-Petviashvili (KP) Burgers equation that governing the dust acoustic waves is deduced for the first time. A particular solution of this KP Burgers equation is also obtained. It is show that the dust acoustic shock waves can exist in the KP Burgers equation.
PACS: 52.35.Sb – Solitons; BGK modes / 52.35.Mw – Nonlinear phenomena: waves, and nonlinear wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
