The evolution of dust acoustic rogue wave triplets and super rogue waves in superthermal polarized space dusty plasma

The exclusive observations of dust in Saturnian rings by Cassini and Voyager spacecrafts have triggered plasma physicists to rejuvenate research in dusty plasmas due to their ineluctable role in various space/astrophysical environments. It has been manifested that this kind of exhaustive dusty plasma is eternally encountered in the most of space/astrophysical environments (i.e., interplanetary space, solar nebulae, comet tails etc.) as well as laboratory (i.e., in semi- conductor, dusty plasma devices, etc). Numerous researchers have investigated characteristics of various nonlinear structures in space dusty plasmas. Another supplementary force (i.e., polarization force) which is actuated because of the distortion in the Debye sphere around the dust in the dusty plasmas medium. This present investigation has been instigated to examine the impact of polarization force on modulational instability of dust acoustic (DA) waves and transition of rogue wave triplets to super rogue waves in dusty plasma comprised of negative dust as fluid, Boltzmannian electrons and superthermal ions. The presence of superthermal ions has remarkably altered the impact of polarization force. An increment in ions superthermality index restricts the polarization parameter towards smaller values. By adopting the multiple-scale perturbation technique, the nonlinear Schrodinger equation (NLSE) is procured that determine the modulational instability (MI) of the dust acoustic waves (DAWs). It is observed that the effect of the polarization force is constricted the wave number domain in the advent of the instability region. The rational solution of NLSE describes the evolution of dust acoustic rogue wave triplets which further transform into the super rogue waves by means of superposition of triplets. The results of our present study may shed the light on the better understanding of nonlinear excitation in Saturns magnetosphere and planetary rings where negative dust fluid along with superthermal ions are prime ingredients in different space and astrophysical environments. As ion acoustic Peregrine solitons have been observed in laboratory plasmas so on the basis of the findings of the present investigation, we propose to perform an experiment in duty plasma to verify the existence of different kinds of dust acoustic rogue waves. (author)