Magnetosonic cnoidal waves and solitons in a magnetized dusty plasma

Abstract

An investigation of magnetosonic nonlinear periodic (cnoidal) waves is presented in a magnetized electron-ion-dust (e−i−d) plasma having cold dust fluid with inertialess warm ions and electrons. The reductive perturbation method is employed to derive the Korteweg-de Vries equation. The dispersion relation for magnetosonic cnoidal waves is determined in the linear limit. The magnetosonic cnoidal wave solution is derived using the Sagdeev pseudopotential approach under the specific boundary conditions. There is the formation of only positive potential magnetosonic cnoidal waves and solitary structures in the high plasma-β limit. The effects of various plasma parameters, viz., plasma beta (β), σ (temperature ratio of electrons to ions), and μd (ratio of the number density of dust to electrons) on the characteristics of magnetosonic cnoidal waves are also studied numerically. The findings of the present investigation may be helpful in describing the characteristics of various nonlinear excitations in Earth's magnetosphere, solar wind, Saturn's magnetosphere, and space/astrophysical environments, where many space observations by various satellites confirm the existence of dust grains, highly energetic electrons, and high plasma-β.

Ion-Acoustic Cnoidal Waves with the Density Effect of Spin-up and Spin-down Degenerate Electrons in a Dense Astrophysical Plasma

“…The study of cnoidal waves has become one of the important areas of research because of their wide range of applications in nonlinear transport processes in plasmas [22], ionosphere plasmas [23], single-mode drift wave spectra [24], and so on. A variety of investigations have been reported by numerous researchers [25][26][27][28] to study the characteristics of cnoidal waves in different plasma regimes. Kaladze et al [29] deduced Korteweg-de Vries (KdV) equation by employing the reductive perturbation method and investigated electrostatic acoustic nonlinear periodic waves in unmagnetised pair-ion plasmas that constitute the same mass ion species with different temperatures.…”

“…Using reductive perturbation technique, the KdV equation was derived, and the solution of nonlinear cnoidal waves was determined by applying the appropriate boundary conditions. The characteristic features of magnetosonic cnoidal and solitary waves were investigated in a magnetised electron-ion-dust (e − i − d) plasma by Kaur et al [28]. It was found that there exist only positive potential magnetosonic cnoidal and solitary waves in the limit of high β plasma.…”

Nonlinear periodic coupled Alfvén and ion-acoustic wave structures in plasmas

“…Recently, Rehman et al [45] theoretically studied the magneto-acoustic cnoidal wave structures in multi-ion plasmas, whereas Khan et al [46] investigated the effects of pressure anisotropy on IA cnoidal wave structures in a magnetized EPI plasma. The magnetosonic cnoidal waves and solitons are recently investigated in a magnetized dusty plasma [47].The authors have found the positive potential magnetosonic cnoidal and soliton structures in a magnetized dusty plasma. The nonlinear periodic wave propagation of coupled Alfvén and ion-acoustic waves in a magnetized plasma has not been investigated yet, therefore, it will be interesting to seek its cnoidal wave solution with applications to space and laboratory plasmas.…”