Cylindrical and spherical dust acoustic solitary waves in adiabatically hot dusty plasmas

The dust acoustic solitary waves (DASWs) in the presence of hot adiabatic dust in cylindrical and spherical geometries are investigated in an unmagnetized dusty plasma. The modified Korteweg-de Vries (mKdV) has been derived by using the reductive perturbation technique. The numerical solutions of the mKdV equation have been presented in both the geometries for hot dust plasmas. It is found that the amplitude of the dust acoustic wave (DAW) increases with the increase of dust temperature in both the geometries. However, the hot dust has more effect on DASW in spherical geometry as compared to the cylindrical case. These results might be very useful to explain the salient features of multidimensional DAWs for space and laboratory plasmas