Abstract
Abstract 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 (K–dV) 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 K–dV 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.
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