Dynamic features of dust acoustic waves in a four component dusty plasma with non-thermal ions

The dynamic features of dust acoustic waves in a four-component dusty plasma with non-thermal ions are investigated applying the bifurcation theory of planar dynamical systems. Employing the Galilean transformation, basic equations are reduced to a planar dynamical system. Existence of solitary and periodic waves is presented for the dynamical system through phase portrait analysis. Analytical forms of these waves are derived depending on physical parameters alpha, beta, beta(1), mu(i), mu(e), sigma and nu. Considering an external periodic perturbation, the quasiperiodic motion of the perturbed dynamical system for dust acoustic waves is shown. It is observed that the unperturbed dynamical system has the solitary and periodic wave solutions whereas the dynamical system with external periodic perturbation has quasiperiodic behavior with same values of parameters alpha, beta, beta(1), mu(i), mu(e), sigma and nu.