Rogue wave in a collisionless, unmagnetized electronegative plasma is investigated. For this purpose, the basic set of fluid equations is reduced to the Korteweg-de Vries (KdV) equation. However, when the frequency of the carrier wave is much smaller than the ion plasma frequency then the KdV equation is also used to study the nonlinear evolution of modulationally unstable modified ionacoustic wavepackets through the derivation of the nonlinear Schrödinger (NLS) equation. In order to show that the characteristics of the rogue wave is influenced by the plasma parameters, the relevant numerical analysis of the NLS equation is presented. The relevance of our investigation to the Titan's atmosphere is discussed.

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The derivative expansion perturbation method is applied to a cold plasma system consisting of dust grains with varying dust charge, electrons, and two species of ions with different temperatures. The basic system of equations is reduced to a nonlinear Schrödinger-type equation. The effect of the temperature of low temperature ions on the system parameters, e.g., angular frequency, group velocity, dispersion coefficient, and nonlinear coefficient, is investigated. It is found that the presence of low-temperature ions enhances the stability of the system. The small wave number limits of the coefficients of the nonlinear Schrödinger-type equation are found to agree exactly with the coefficients of the nonlinear Schrödinger-type equation obtained from the oscillatory solution of the Korteweg-de Vries equation of the system.