Solitary kinetic Alfven waves in a low-beta dusty plasma

The nonlinear kinetic Alfven waves in a low-beta (0 much less than beta muc h less than 1) dusty plasma have been investigated with the fluid model of three-component plasma. The nonlinear equation governing the perturbation d ensity of electrons in a form of the energy integral has been derived. In t he approximation of small amplitude, the soliton solution for the perturbat ion density of electrons is found, and the characteristics of solitons in d ifferent range of plasma parameters is studied numerically. The results sho w that the density dip or hump can be formed in a dusty plasma for differen t ranges of parameters, the amplitude of density dip is enhanced and the am plitude of density hump is reduced with increasing dust grain content.