Interacting dust-acoustic multi-soliton and periodic waves in strongly coupled dusty plasma with ion-drag force

This study investigates head-on collisions of nonlinear dust acoustic waves (DAWs) in an unmagnetized, strongly coupled dusty plasma with ion-drag force. The (r,q) nonextensive distribution describes electrons and ions, and the extended Poincaré-Lighthill-Kuo (ePLK) perturbation method derives coupled Korteweg-de Vries equations (CKdVEs) governing counter-propagating solitary waves. Analytical solutions are obtained using Jacobi elliptic function Expansion Method, revealing periodic and solitary wave structures. Multi-soliton solutions are constructed via Hirota's bilinear method, enabling comprehensive analysis of single, double, and triple soliton interactions. Phase shifts induced by soliton collisions are systematically evaluated, demonstrating the influence of key plasma parameters on wave dynamics. The effects of parameter variations on coupled Korteweg-de Vries (KdV) solutions are examined, providing valuable insights into nonlinear wave interactions in dusty plasmas.