Modulational instability of dust-ion-acoustic waves and associated first and second-order rogue waves in a super-thermal plasma

Abstract A proper theoretical research has been carried out to explore the modulational instability (MI) conditions of dust-ion-acoustic (DIA) waves (DIAWs) in a three-component dusty plasma system containing inertialess κ -distributed electrons, and inertial warm positive ions negative dust grains. The nonlinear Schrodinger equation (NLSE) derived by employing reductive perturbation method. numerical analysis under consideration demonstrates two types modes, namely, fast slow DIA modes. MI DIAWs configuration energetic rogue (RWs) associated with modulationally unstable parametric regime have rigorously changed variation various parameters, charge, mass, temperature, number density species. findings our present investigation will be useful understanding criteria for formation electrostatic RWs both astrophysical environments (viz., Jupiter’s magnetosphere, cometary tails, pulsar magneto-sphere, interstellar medium, Earth’s mesosphere, Saturn’s rings, etc.) laboratory experiments.