Dust Charge Variation Effect on Solitary Rings Interaction with Two–Temperature Ions

Inward and outward dust acoustic solitary (DAS) rings interactions are studied in cylindrical and spherical geometrical configurations. Wave–wave interaction specifically, solitary waves interaction in nonplanar geometry provides important information, characteristics, and nature of cylindrical DAS ring and spherical DAS ring structures. The collision between two inward and outward cylindrical/spherical DAS rings is investigated in un-magnetized plasmas, taking variable dust charge and different ion temperatures by using the extended version of Poincaré–Lighthill–Kuo (PLK) perturbation method. Time-wise interactions of cylindrical DAS rings have been depicted. The investigation assumes that derived analytical phase shifts during the head-on collision of DAS rings are directly modified by the nonplanar geometric configuration. It was noted during the investigation that variation of dust charge and different ion temperatures significantly modify the phase shifts. Thus, the dust charge variable as well as different temperature ions, play a very important role in the phase shifts which recognizes the prime objective of our investigation.