<p>The phase shift due to head-on collision (HOC), production of forced Korteweg-de Vries (FKdV)-soliton, and collision process of FKdV-soliton are investigated in the Saturn F-ring environment. The three-component unmagnetized dusty plasma system consists of kappa-distributed positive ions, Maxwellian electrons, and negatively charged dust grains. The extended Poincaré-Lighthill-Kuo (ePLK) method is used to derive two-sided Korteweg-de Vries (KdV) equations. The bilinear Hirota method is used to obtain the multi-soliton solutions of the KdV equations, as well as their phase shifts. The single-soliton’s higher-order positive phase shift is considerably enhanced by the rising density ratio of electrons to negatively charged dust grains, the increasing strength of the nonlinearity, and the growing effect of the plasma-particle polarization parameter. As the values of the plasma-particle polarization parameter get a boost, so does the double-soliton’s positive phase shift after the HOC. The formation of FKdV-solitons is significantly influenced by the relevant plasma parameters. Only the compressive hump-shaped solitons are generated in this investigation. The results obtained in the study may help to understand the consequences of HOC of counter-propagating dust-acoustic solitary waves in polarized space environments, particularly in cometary tails, pulsar magnetospheres, Earth’s magnetosphere, and Saturn’s rings, as well as in the laboratory experiments of dusty plasmas.</p>