Inertial Alfvén waves with polarization force in a dusty plasma

The properties of dust inertial Alfvén waves (DIAWs) in a dusty plasma with the effects of polarization force are investigated. First, the dispersion equation is obtained from the fluid equations by considering the polarization force. Then, the energy balance equation is deduced by applying the Sagdeev pseudopotential method. It is shown that the polarization force affects the characteristics of DIAWs as well as the pseudopotential significantly. In addition, the existence of the polarization force changes the width of DIAWs. The present results may be helpful in further understanding the effect of polarization forces on the formation of linear and nonlinear structures of Alfvén waves in the laboratory plasma, astrophysical dusty plasma systems, planetary ring systems, cometary tails, etc.