Abstract

The properties of cylindrical and spherical dust–ion acoustic solitary waves (DIASW) in an unmagnetized dust plasma comprised of relativistic ions, Boltzmann electrons and stationary dust particles are investigated for the first time in this paper. By using the standard reductive perturbation method, a cylindrical/spherical KdV equation is obtained. The change in the DIASW structure due to the effects of geometry, relativistic streaming factor, ion density, and electron temperature is studied by numerical calculation of the cylindrical/spherical KdV equation. It is observed that the properties of DIASW in cylindrical and spherical geometry differ from those in planar one-dimensional geometry, and the amplitude of the solitary wave decreases with increasing electron temperature and increases with increasing relativistic streaming factor, ion density, and vice versa. It is shown that the soliton height is closely related to the nonlinearity coefficient: the height increases as the nonlinearity coefficient decreases.

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