Interaction of ion acoustic solitons for Zakharov Kuznetsov equation in relativistically degenerate quantum magnetoplasmas

Khattak, M. Yousaf; Masood, W.; Jahangir, R.; Siddiq, M.

doi:10.1080/17455030.2021.1968536

Cited by 10 publications

(2 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here, the HBM, 52 which is a renowned technique to obtain the multi-soliton solution (MSS) of many integrable equations including the 2D-ZKE, is employed. It uses the following transformation equation 62,63 to obtain the SW solution of 2D-ZKEHirota bilinear forms of 2D-ZKE (21) read 62 andHere, Di (i=ξ,η,τ) represents the Hirota operators with regard to ξ , η , and τ , respectively. The Hirota derivatives operate in a unique fashion on the product of functions, defined mathematically as 53 and expansion of the function g ( ξ , η , τ ) in terms of ɛ reads…”

Section: Multi-soliton Solution To the 2d-zkementioning

confidence: 99%

See 1 more Smart Citation

Overtaking interaction of electron-acoustic solitons in Saturn’s magnetosphere

Khattak

Masood

Jahangir

et al. 2023

Journal of Low Frequency Noise, Vibration and Active Control

View full text Add to dashboard Cite

The progression of nonlinear electron-acoustic waves (EAWs) in a magnetized and collision-free plasma made up of cold inertial electrons, inertialess superthermal electrons, and stationary background ions with special reference to Saturn’s magnetosphere (SMS) is explored. The method of reductive perturbation (MRP) is employed to obtain the evolution equation (i.e., Zakharov– Kuznetsov equation (ZKE)) that governs the propagation of electron acoustic solitons (EASs). Using the elegant and efficient Hirota bilinear method (HBM), multi-soliton solutions (MSSs) of the ZKE are determined. The impact of the effects of hot-to-cold electron density ratio, magnetic field (MF) strength, and superthermality on single as well as the interaction of EASs is examined. Estimates of the values of the electric field at several radii of SMS (i.e., 12 R s − 17.8 R s, where R s is the radius of Saturn) are presented, which are found in μV/ m to mV/ m range and are in perfect agreement with the data from Cassini radio and plasma wave science wideband receiver. Moreover, the influence of the relevant plasma parameters on the interaction time and spatial extent of the interacting EASs is also explored.

show abstract