A spherical KP equation for dust acoustic waves
Abstract
The nonlinear dust acoustic waves in dusty plasmas with the combined effects of bounded spherical geometry and the transverse perturbation are studied. Using the perturbation method, a spherical KadomtsevPetviashvili (SKP) equation that describes the dust acoustic waves is deduced for the first time. A particular solution of this SKP equation is also obtained. It is shown that the dust acoustic solitary wave can exist in the SKP equation.
 Publication:

Physics Letters A
 Pub Date:
 August 2003
 DOI:
 10.1016/S03759601(03)009514
 Bibcode:
 2003PhLA..314..479X