Abstract
A hydrodynamic model is applied to characterize the linear and nonlinear characteristics of collisional dust acoustic waves of degenerate inertialess ions and electrons. The dispersion properties of dust acoustic waves are derived, inertia provided by dust particles, and restoring force is due to electrons and ions. In nonlinear analysis, we follow the reductive perturbation technique to derive the dissipative nonlinear Schrödinger equation. The modulated growth rate of instability, the envelope, and rogue waves are investigated numerically as well as analytically. This paper will provide an important contribution to understanding the linear and nonlinear properties of electrostatic excitations in degenerate dusty plasma, which are relevant to the DUSTY DAZ WDs.
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