Spherical and cylindrical dust acoustic solitary waves. (English) Zbl 1079.74565
Summary: The nonlinear propagation of cylindrical and spherical dust acoustic (DA) waves in an unmagnetized dusty plasma is considered. By employing the reductive perturbation technique, a modified Korteweg-de Vries (KdV) equation is derived from the dust continuity and momentum equations, Poisson’s equation as well as Boltzmann electrons and ions. Numerical solutions of the modified KdV equation are obtained. It has been found that the propagation characteristics of the cylindrical and spherical DA solitary waves significantly differ from those of one-dimensional DA solitary waves.
MSC:
| 74J35 | Solitary waves in solid mechanics |
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