Nonplanar Dust-Ion Acoustic Solitary Waves in Warm Plasma With Superthermal Electrons

Using the reductive perturbation technique, a cylindrical/spherical Korteweg-de Vries (KdV) equation is derived for dust-ion acoustic solitary wave (DIASW) in an unmagnetized dusty plasma, whose constituents are adiabatic ion fluid, superthermal electrons, and negatively charged static dust particles. The solution of modified KdV equation in nonplanar geometry is numerically analyzed. The change of the DIASW structure due to the effect of the geometry, superthermal parameter, dust density, and ion temperature is investigated by numerical calculation of the cylindrical/spherical KdV equation.