Collision Phenomena and the Force Korteweg–De Vries Soliton Structure in Dusty Plasma With Polarization Effect

ABSTRACT Unmagnetized collisionless dusty plasma is used to study the collision processes, phase shifts, electric fields, and the production of Korteweg–De Vries (KdV) and force KdV (FKdV) solitons in the presence of a source term with strength in the mesosphere region (where a layer of positively charged particles is 5 km thick). Dust grains with positive charges, regularized Kappa‐distributed electrons, and Maxwellian ions constitute the plasma system under consideration. The extended Poincaré–Lighthill–Kuo (ePLK) approach is used to obtain the two‐sided KdV equations and associated phase shifts. The Hirota bilinear method is used to determine the multi‐soliton solutions. To investigate the effect of external periodic force, the FKdV equation is derived from the KdV equation. In the environment, as mentioned earlier, the parameters in question are essential for the formation of dust KdV and FKdV solitons, changing the phase shifts, and the interaction process of single, double, triple, and quadruple solitons as well as FKdV solitons. Due to the effects of the relevant parameters in the mesosphere environment, hump‐shaped compressive KdV and FKdV solitons are formed, together with both positive and negative phase shifts. The superposition principle is followed by the KdV dust acoustic solitons in the collision processes.