Modulation Instability and Dust-Ion-Acoustic Rogue Waves in Electron-Positron-Ion-Dust Magnetized Plasmas

• Published in: IEEE transactions on plasma science Vol. 48; no. 7; pp. 2591 - 2600
• Main Authors: Haque, M. N., Mannan, A.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.07.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: 3-D nonlinear Schrödinger equation; Acoustic waves; Acoustics; complex magneto-plasma; Cyclotron frequency; Cyclotrons; Dust; Dusty plasmas; Indexes; Ions; Magnetic domains; Magnetosphere; Mathematical model; modulational instability (MI); Perturbation methods; Plasmas; Positrons; rogue wave (RW); Schrodinger equation; Temperature ratio
• ISSN: 0093-3813; 1939-9375
• DOI: 10.1109/TPS.2020.3002424

A realistic multicomponent collisionless complex magnetized dusty plasma system consisting of warm ions, <inline-formula> <tex-math notation="LaTeX">\kappa </tex-math></inline-formula>-distributed positrons and electrons, and immobile dust grains is considered to study the modulational instability (MI) (stable/unstable frequency regimes) of dust-ion-acoustic waves (DIAWs). By employing the reductive perturbation method, a 3-D nonlinear Schrödinger equation (NLSE), which leads to the MI of DIAWs, is derived. Furthermore, the NLSE gives a special type of 3-D rogue wave (RW) solution. It is observed that the spectral index <inline-formula> <tex-math notation="LaTeX">\kappa </tex-math></inline-formula> plays a crucial role on the behavior of DIAWs. The basic properties like amplitude and width of the first- and second-order dust-ion-acoustic RWs are affected by the key complex magneto-plasma configuration parameters, such as spectral index <inline-formula> <tex-math notation="LaTeX">\kappa </tex-math></inline-formula>, temperature ratio, number densities of magneto-plasma species, and ion cyclotron frequency <inline-formula> <tex-math notation="LaTeX">(\omega _{ci}) </tex-math></inline-formula>. The implication of our results for space and laboratory plasmas is briefly discussed.