Dust-acoustic rogue waves in non-thermal plasmas

Abstract

The nonlinear propagation of dust-acoustic (DA) waves (DAWs) and associated DA rogue waves (DARWs), which are governed by the nonlinear Schrödinger equation, is theoretically investigated in a four component plasma medium containing inertial warm negatively charged dust grains and inertialess non-thermal distributed electrons as well as iso-thermal positrons and ions. The modulationally stable and unstable parametric regimes of DAWs are numerically studied for the plasma parameters. Furthermore, the effects of temperature ratios of ion-to-electron and ion-to-positron, and the number density of ion and dust grains on the DARWs are investigated. It is observed that the physical parameters play a very crucial role in the formation of DARWs. These results may be useful in understanding the electrostatic excitations in dusty plasmas in space and laboratory situations.

Obliquely propagating ion-acoustic shock waves in degenerate quantum plasma

“…To study IASHWs, we derive Burgers' equation by employing the reductive perturbation method (RPM) [36,37], and the stretched coordinates for independent variables can be written as [38,39,40]…”

“…The existence of light (viz., 1 1 H [1, 2, 3, 4], 4 2 He [1,5,6,7,8], 12 6 C [7,8], and 16 8 O [7,8,9], etc.) and heavy (viz., 56 26 Fe [10,11], 85 37 Rb [11,12], and 96 42 Mo [11,12], etc.) ions in astrophysical compact objects (viz., white dwarfs and neutron stars) has received a substantial attention to investigate ion-acoustic (IA) waves (IAWs) in degenerate quantum plasma (DQP).…”

Dust-ion-acoustic rogue waves in dusty plasma having super-thermal electrons

“…The nonlinear and dispersive properties of plasma medium are the prime reasons to organize the modulational instability (MI) criteria of various kinds of waves in the presence of external perturbation, and are governed by the standard nonlinear Schrödinger equation (NLSE) which can be derived by employing reductive perturbation method (RPM) [11,12,13,14,15,16,17,18,19]. The rational solution of the NLSE is also known as freak waves, giant waves, or rogue waves (RWs) in which a large amount of energy can concentrate into a small area, and the height of the RWs is almost three times greater then the height of associated normal carrier waves.…”

Modulational instability of ion-acoustic waves and associated envelope solitons in a multi-component plasma

“…The intricate mechanism of the MI of various waves (viz., IAWs, EAWs, and PAWs [17], etc.) and the formation of the electrostatic envelope solitonic solitons has been governed by the standard nonlinear Schrödinger equation (NLSE) [18,19,20,21,22]. Kourakis and Shukla [2] investigated the MI of the IAWs in a super-thermal plasma having inertial cold ion and inertialess cold and hot electrons.…”