ABSTRACT In magnetized plasma environments, low‐frequency electromagnetic waves such as kinetic Alfvén waves (KAWs) play a crucial role in energy transport and plasma heating. A significant factor that has an impact on wave dynamics in such media is the polarization force, which arises from the polarization of plasma ions around negatively charged dust grains, introducing electrostatic potential gradients that significantly modify nonlinear wave behavior. This study examines the effect of polarization force on the nonlinear dynamics of KAWs in a magnetized dusty plasma composed of superthermal ions (modeled by kappa distribution), Maxwellian electrons, and negatively charged inertial dust particles. Using the standard reductive perturbation technique, we derive the Korteweg‐de Vries (K‐dV) and modified K‐dV (mK‐dV) equations to describe the evolution of small but finite amplitude KAWs. The numerical solution of the latter is employed to analyze the dynamical properties of kinetic Alfvén solitary waves, which reveal that the polarization force leads to a noticeable increase in the amplitude of solitary waves. The results demonstrate that even weak polarization effects can play a crucial role in shaping the nonlinear features of KAWs, with implications for both space and laboratory plasma environments.
Rafiya et al. (2026) studied this question.