Effect of Kaniadakis Distributed Electrons on the Dust Acoustic Waves in a Charge Varying Dusty Plasma

The propagation of dust acoustic waves, both solitary and shock waves of arbitrary amplitude, is revisited for the first time in a dusty plasma composed of Kaniadakis‐distributed electrons, positive ions, and dust grains with variable charge. The ‐generalized electron charging current is derived using the orbit‐motion‐limited (OML) theory. It is observed that the Kaniadakis electron distribution plays a significant role in shaping the behavior of variable‐charge solitary waves. Specifically, in the adiabatic regime, this distribution results in solitary structures that are less sharply peaked and promotes enhanced electron collection by the dust grains, or equivalently, suppresses the collection of positive ions. In the non‐adiabatic regime, the system supports dissipative shock waves, and the presence of ‐distributed electrons facilitates a transition in the wave profile from oscillatory to monotonic behavior.