Properties of rogue, soliton, and shock-like dust-ion-acoustic waves in dusty plasma at Titan's ionosphere

The properties and stability of nonlinear dust-ion-acoustic waves are examined in dusty plasma environment such as Titan ionosphere. The plasma is composed of warm collisional negatively charged dust grains, positive ions contain source terms, and Maxwellian electrons. Based on the one-dimensional version of the standard reductive perturbation technique, the nonlinear waves are described by a complex Ginzburg-Landau (CGL) equation. Using a factorization method, the CGL equation is solved to obtain different nonlinear solutions in the form of a localized electrostatic potential pulse such as rogue, bright, and shock-like solutions. At certain plasma parameters, the rogue wave turns into a bright soliton or other nonlinear wave forms. The influence of various plasma configuration parameters, such as wave number k, relative temperatures re, coefficients of plasma ionization frequency H-2, relative dust density delta(d), and collision frequency v on electrostatic nonlinear wave characteristics (amplitude and width) has been examined. The stability of the envelope soliton solution from the CGL equation has been investigated. Our results will be useful in understanding the dynamics of nonlinear excitations in Titan ionosphere where the dust grains have been well established in recent years by Cassini mission.