Rogue waves in multi‐pair plasma medium

Abstract

The non-linear propagation of ion acoustic (IA) waves, which is governed by the non-linear Schrödinger equation, in multi-pair plasmas (MPPs) containing adiabatic positive and negative ion fluids as well as non-extensive (q-distributed) electrons and positrons is theoretically investigated. It is observed that the MPP under consideration supports two types of modes, namely fast and slow IA modes, and the modulationally stable and unstable parametric regimes for the fast and slow IA modes are determined by the sign of the ratio of the dispersive coefficient to the non-linear one. It is also found that the modulationally unstable regime generates highly energetic IA rogue waves (IARWs), and the amplitude as well as the width of the IARWs decreases with increase in the value of q (for both q > 0 and q < 0 limits). These new striking features of the IARWs are found to be applicable in the space (i.e., D-region [H + , O − 2 ], and F-region [H + , H − ] of the Earth's ionosphere) and laboratory MPPs (i.e., fullerene [C + , C − ]).

Dynamics of ion‐acoustic rogue waves in electron‐positron‐ion magneto‐plasmas

“…Electronegative plasma systems [viz., ( H + , H − ), ()] are observed in the D and F‐regions of Earth's ionosphere [9,13,14,53] and ( Ar + , F − ) plasma has been used in laboratory device [48] . Therefore, many authors [2,5,10–12,54] have made theoretical investigations to study the nonlinear electrostatic disturbances in electronegative plasma with two distinct groups of ions. The modulational instability of ion‐acoustic waves [10,12,54] and rogue waves [10] in the D and F‐regions of Earth's ionosphere electronegative plasma, where such plasmas ( H + , H − ) and () exist, have been theoretically investigated.…”

“…Therefore, many authors [2,5,10–12,54] have made theoretical investigations to study the nonlinear electrostatic disturbances in electronegative plasma with two distinct groups of ions. The modulational instability of ion‐acoustic waves [10,12,54] and rogue waves [10] in the D and F‐regions of Earth's ionosphere electronegative plasma, where such plasmas ( H + , H − ) and () exist, have been theoretically investigated. Therefore, it is expected that our present work is useful in understanding the physics of nonlinear phenomena like modulational instability of ion‐acoustic waves and rogue waves in the D‐F regions of Earth's ionosphere [e.g., ( H + , H − ), () electronegative plasma] [9,13,14,53] and laboratory device [e.g., ( Ar + , F − ) electronegative plasma] [48] …”

“…Rogue wave is a complex, rare, short‐lived, and high energetic pulse, which is an interesting research topic for the plasma physicists. Therefore, researchers have theoretically investigated the properties of rogue waves in many plasma systems [6,10,39–43] . Sabry et al [42] have reported the propagation properties of IARWs in an unmagnetized plasma medium with warm ions, electrons, and positrons and analysed that the IARWs become suddenly high energetic pulse around the critical wave number ( k c ) and later decrease with increasing the k c .…”

“…Nowadays, electronegative plasma, [1][2][3][4][5][6][7][8] containing both positive and negative ions as well as electrons, is one of the fascinating research topics among the plasma physicists because it is not only observed in astrophysical objects (viz., Earth's ionosphere [9,10] (D-region [11][12][13] and F-region [5] ), Solar wind, [6] Titan's ionosphere, [14] and cometary comae, [15] etc.) but also in both industrial use [4] and laboratory experiment.…”

“…Therefore, researchers have theoretically investigated the properties of rogue waves in many plasma systems. [6,10,[39][40][41][42][43] Sabry et al [42] have reported the propagation properties of IARWs in an unmagnetized plasma medium with warm ions, electrons, and positrons and analysed that the IARWs become suddenly high energetic pulse around the critical wave number (k c ) and later decrease with increasing the k c . Abdelwahed et al [6] have studied the RW in collisionless superthermal plasma with opposite polarity ions as well as superthermal electrons and found that various plasma parameters, such as spectral index , ions density ratio, and ions mass ratio (m + /m − ), etc., play an important role on the RW propagation properties.…”