Dust acoustic solitary waves with superthermal electrons in cylindrical and spherical geometry

Abstract

Dust acoustic solitary waves (DASWs) in an unmagnetized dusty plasma consisting of mobile dust particle, superthermal/non-Maxwellian electrons (represented by kappa distribution) and Boltzmann distributed ions are studied in the frame work of nonplanar geometry. Using reductive perturbation technique, the modified Korteweg–de Vries equation is derived. Numerically, the effects of spectral index kappa on the properties of DASWs in nonplanar geometry is discussed. It is found that the spectral index kappa changes the amplitude and width of the DASWs in nonplanar geometry significantly. The present investigation may be helpful in the understanding of the nonlinear propagation of waves in the pulsar’s magnetosphere.