Nonlinear dust-ion acoustic periodic travelling waves in a magnetized plasma with two temperature superthermal electrons and stationary charged dust grains

Abstract

In this research, the nonlinear propagation of dust-ion acoustic (DIA) periodic travelling waves in a dusty plasma consisting of cold ions, stationary charged dust grains, and two temperature superthermal electrons is theoretically studied. A nonlinear Zakharov-Kuznetsov equation, which describes nonlinear dust-ion acoustic waves, is derived using a reductive perturbation method. Furthermore, the bifurcation theory has been employed to study the nonlinear propagation of DIA periodic travelling wave solutions. In the proposed model, the co-existence of both compressive and rarefactive DIA periodic travelling waves are found. The numerical investigations illustrate that the characteristics of nonlinear DIA periodic travelling waves strongly depend on the temperature ratio, both the concentration and the superthermality of cold electrons, the ion cyclotron frequency, the direction cosines of wave vector k along z axis, and the concentration of dusty grains. The present investigation can help in better understanding of nonlinear DIA periodic travelling waves in astrophysical environments with two temperature superthermal electrons such as Saturn's magnetosphere.

Dust-acoustic periodic travelling waves in a magnetized dusty plasma with trapped ions and nonthermal electrons in astrophysical situations: oblique excitations

“…In this sense, the bifurcation analysis of the phase portrait for the Hamiltonian of the system has been extensively employed to study the physical nature of travelling nonlinear dust acoustic waves in plasma. This analysis has significant applications in different plasma environments (Selim et al2015;Abdelwahed et al 2017;El-Shamy et al2021;Selim et al2021;Samanta et al2013;Pradhan et al 2021;Tolba 2021). For instance, Selim et al (2015) have investigated the bifurcation analysis of nonlinear ionacoustic travelling waves in a multicomponent magnetoplasma with superthermal electrons.…”

Effects of trapped ions concentration on the dynamics of dust‐acoustic periodic travelling waves in dusty plasmas

“…In addition, many investigators have applied bifurcation analysis [ 35 ] extensively to examine non‐linear waves' physical behaviour in different plasma models due to its significant applications in various plasma cases. [ 36–45 ] In particular, they discussed the probability of the existence and characteristics of periodic travelling waves. For instance, by applying the bifurcation theory, Abdelwahed et al [ 38 ] discussed the non‐linear propagation of dust‐ion acoustic periodic travelling waves in a dusty plasma consisting of cold ions, stationary charged dust grains, and two temperature superthermal electrons.…”

“…[ 36–45 ] In particular, they discussed the probability of the existence and characteristics of periodic travelling waves. For instance, by applying the bifurcation theory, Abdelwahed et al [ 38 ] discussed the non‐linear propagation of dust‐ion acoustic periodic travelling waves in a dusty plasma consisting of cold ions, stationary charged dust grains, and two temperature superthermal electrons. Abdelwahed et al found [ 38 ] that the superthermality of cold and hot electrons has a strong and weak influence, respectively, on the non‐linear dust‐ion acoustic periodic wave structures.…”

“…For instance, by applying the bifurcation theory, Abdelwahed et al [ 38 ] discussed the non‐linear propagation of dust‐ion acoustic periodic travelling waves in a dusty plasma consisting of cold ions, stationary charged dust grains, and two temperature superthermal electrons. Abdelwahed et al found [ 38 ] that the superthermality of cold and hot electrons has a strong and weak influence, respectively, on the non‐linear dust‐ion acoustic periodic wave structures. Recently, El‐Shamy et al [ 42 ] examined non‐linear rarefactive isothermal ion‐acoustic periodic travelling waves in a magnetized ultrarelativistic degenerate plasma, including warm fluid ions, ultrarelativistic degenerate inertialess electrons as well as positrons, and immobile heavy negative ions.…”

Dust ion‐acoustic solitons collision in weakly relativistic plasmas with superthermality‐distributed electrons and positrons: Higher‐order phase shifts

“…[6,7] Actually, particles with high-energy tails are characterized by superthermal particles. [11][12][13][14] In effect, the essential motivation for successive development in the investigation of a dusty plasma is in its wide applications in various scientific fields. Indeed, when tends to infinity, the non-Maxwellian distribution approaches the well-known Maxwellian distribution.…”