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

The study investigates head-on collisions of nonlinear dust acoustic waves in an unmagnetized, strongly coupled dusty plasma with ion-drag force. A (r,q) nonextensive distribution describes electrons and ions, and the extended Poincaré-Lighthill-Kuo method derives coupled CKdVEs governing counter-propagating solitary waves. Analytical solutions are obtained using the Jacobi elliptic function Expansion Method, revealing periodic and solitary structures. Multi-soliton solutions are constructed via Hirota's bilinear method.

Multi-soliton solutions enable analysis of single, double, and triple soliton interactions and evaluate phase shifts from collisions. The study also examines how key plasma parameters affect the coupled KdV solutions, offering insights into nonlinear wave dynamics in dusty plasmas with potential laboratory and space applications.