Effect of ion and ion-beam mass ratio on the formation of ion-acoustic solitons in magnetized plasma in the presence of electron inertia

Abstract

The propagation of ion-acoustic solitary waves in magnetized plasma with cold ions and ion-beams together with electron inertia has been investigated theoretically through the Korteweg–de Vries equation. Subject to the drift velocity of the ion beam, the existence of compressive solitons is found to become extinct as α (=cold ion mass/ion-beam mass) tends to 0.01 when γ=0.985 (γ is the beam velocity/phase velocity). Interestingly, a transitional direction of propagation of solitary waves has been unearthed for change over, from compressive solitons to rarefactive solitons based on α and συ(=cosine of the angle θ made by the wave propagation direction ξ with the direction of the magnetic field) for fixed Q(=electron mass/ion mass). Further, the direction of propagation of ion-acoustic waves is found to be the deterministic factor to admit compressive or rarefactive solitons subject to beam outsource.

Weakly relativistic solitons in a magnetized ion-beam plasma in presence of electron inertia

“…2͑a͔͒, the initial rise in soliton amplitudes follows almost constant growth even though ion-beam mass ͑Ͻ1͒ increases for V = 0.20 at higher initial streamings v s0 − v e0 = 10 and small relativistic effects v b0 / c = 0.10, v s0 / c = 0.10, and small N b = 0.001. Unlike the generation of smaller amplitude solitons against greatest ␣͑=1 / QЈ͒ in the investigation of Kalita and Barman, 30 it is found to generate higher amplitude solitons against smaller QЈ due to the introduction of relativistic ion-beam in this plasma compound ͓Figs. 1͑a͒ and 2͑a͔͒.…”

“…However, it needs to mention that for ␣͑=1 / QЈ͒ Ͼ 1 or Ͻ1, both compressive and rarefactive solitons without relativistic effect are established with the existence of a critical N b ͑or ␣͒ in the investigation of Kalita and Barman. 30 In the vicinity of equal beam and ion masses ͑QЈ Ϸ 1͒, the amplitudes of the compressive solitons sharply increase to a maximum ͓Fig. 1͑a͔͒.…”

“…Kalita et al 29 have investigated the existence of ion-acoustic solitons in a magnetized ion-beam plasma without relativistic effect. Kalita and Barman 30 have also investigated the effect of ion and ionbeam mass ratio on the formation of nonrelativstic ionacoustic solitons in a magnetized plasma in presence of electron inertia.…”

Large amplitude solitary waves in a warm magnetoplasma with kappa distributed electrons

“…Nonlinear IAWs in plasmas have been investigated by many authors. [13][14][15][16][17][18] Most of these studies are restricted to the cold ion limit. [15][16][17][18] Ion-acoustic solitary waves (IASWs) in the presence of hot ions in unmagnetized electron-ion plasmas have also been investigated.…”

“…[13][14][15][16][17][18] Most of these studies are restricted to the cold ion limit. [15][16][17][18] Ion-acoustic solitary waves (IASWs) in the presence of hot ions in unmagnetized electron-ion plasmas have also been investigated. [19][20][21][22][23] Mahmood and Saleem 24 studied the electrostatic solitary structures in unmagnetized plasmas in the presence of cold and adiabatically heated ions.…”