Solitons In Magnetized Plasma Research Articles

Numerical simulation of Alfvén dark envelope soliton in Hall-MHD plasmas

This study investigates the propagation of dark Alfvén solitons in low-β magnetized plasma using Hall-magnetohydrodynamic (Hall-MHD) numerical simulations. The rational solution of the nonlinear Schrödinger equation (NLSE) is presented, which is proposed as an effective tool for studying dark envelope solitons in plasma. Our results show a high degree of agreement between numerical simulations and analytical solutions derived from the NLSE via the reductive perturbation method. This agreement validates our modeling and computational approach. In addition, the simulations confirm the existence of dark Alfvén solitons in magnetized plasma. This work demonstrates the effectiveness of Hall-MHD simulations in studying complex plasma phenomena, contributing to the broader understanding of soliton propagation in plasma environments.

Solitons in magnetized plasma with electron inertia under weakly relativistic effect

Solitons in magnetized plasma with electron inertia under weakly relativistic effect

Stability of obliquely propagating 3D solitons in magnetized plasma with nonthermal distribution

The dynamics of electron-acoustic waves (EAWs) in a magnetized plasma consisting of cold electrons, hot nonthermal distributed electrons, as well as stationary ions are investigated through the derivation of Zakharov–Kuznetsov (ZK) equation by the reductive perturbation theory. The dependence of the EAWs characteristics, namely the wave amplitude, width, energy, and the electric field on the system parameters e.g. electron nonthermality parameter, the magnetic field and the obliqueness are studied. Moreover, the stability analysis is carried out to check the presence of the stable and unstable solitons. The results found in this article could be useful in interpreting the electrostatic waves in the Earth auroral zone based on the observation by viking satellite observations.

Stability of ion acoustic nonlinear waves and solitons in magnetized plasmas

Early results concerning the shape and stability of ion acoustic waves are generalized to propagation at an angle to the magnetic field lines. Each wave has a critical angle for stability. Known soliton results are recovered as special cases. A historical overview of the problem concludes the paper.

The role of undirected relativistic electrons with inertia in the formation of weakly relativistic ion acoustic solitons in magnetized plasma

Existence of both subsonic and supersonic compressive solitons of interesting characters is established in this magnetized plasma model with non relativistic ions and relativistic electrons. The small supersonic range for the generation of compressive solitons is shown to confine near the vicinity of the direction of the magnetic field. It is predicted that the relativistic variation of electron’s mass is responsible for the expansion of Sagdeev potential to result increase in soliton’s amplitude and decrease in its width.

Obliquely propagating electron acoustic solitons in magnetized plasmas with nonextensive electrons

Abstract. The problem of small amplitude electron-acoustic solitary waves (EASWs) is discussed using the reductive perturbation theory in magnetized plasmas consisting of cold electrons, hot electrons obeying nonextensive distribution and stationary ions. The presented investigation shows that the presence of nonextensive distributed hot electrons (due to the effects of long-range interactions) causes a reduction in the soliton amplitude while its width increases. The effects of the population ratio of hot to cold electrons and also the effects of the presence of magnetic field in this situation are also discussed.

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

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.

Effects of adiabatic hot dust on arbitrary amplitude electrostatic solitary structures in magnetoplasmas

The effects of dust temperature on arbitrary amplitude dust acoustic solitary waves in a homogeneous magnetized plasma are studied. It is found that the dust temperature is destructive for the formation of solitons in magnetized plasmas. This behavior is similar to the case of unmagnetized hot dusty plasmas. However, the soliton amplitude increases with the increase in the obliqueness of the wave propagation. The numerical results are also shown for illustrative purposes.

Self-focusing of nonlinear ion-acoustic waves and solitons in magnetized plasmas. Part 3. Arbitrary-angle perturbations, period doubling of waves

Nonlinear waves, solutions of the Zakharov–Kuznetsov (ZK) equation for a dilute plasma immersed in a strong magnetic field, are studied numerically. It is found that the most unstable mode rides with the carrier wave and leads to period doubling. Owing to the simplicity of the ZK equation, this and other phenomena, similar to those observed for gravity waves on a water surface, can be fully investigated. Analytical methods are also explored. An expansion in the carrier-wave amplitude leads to good estimates for growth rates, a result so far unobtainable for water waves. This paper can be read independently of parts 1 and 2, but a brief summary of all three parts is given at the end.

Self-focusing of nonlinear ion-acoustic waves and solitons in magnetized plasmas. Part 2. Numerical simulations, two-soliton collisions

Nonlinear waves and solitons satisfying the Zakharov-Kuznetsov equation for a dilute plasma immersed in a strong magnetic field are studied numerically. Growth rates of perpendicular instabilities, found theoretically in part 1, are confirmed and extended to arbitrary wavelengths of the perturbations (the calculations of part 1 were limited to long-wave perturbations). The effects of instabilities on nonlinear waves and solitons are illustrated graphically. Pre-vious, approximate results of other authors on the perpendicular growth rates for solitons are improved on. Similar results for perturbed nonlinear waves are presented. The effects of two-soliton collisions on instabilities are investigated. Rather surprisingly, we find that the growth of instabilities can be retarded by collisions. Instabilities can also be transferred from one soliton to another in a collision. This paper can be read independently of part 1.

Dynamics of nonlinear ion-acoustic waves in an external magnetic field

The general problem of the dynamics and stability of nonlinear ionacoustic waves and solitons in magnetized plasmas is important in ionospheric and laboratory applications. Here the geometrical-optics approximation solution is presented in the form of a quartic inω/k. Some growth rate and phase diagrams are also presented. The external magnetic field is seen to play a dual role: it strongly destabilizes the waves, and it introduces resonances not unlike those of the Bernstein modes. A perpendicular perturbation analysis is seen to be much too restricted.

Self-focusing of nonlinear ion-acoustic waves and solitons in magnetized plasmas

The Zakharov-Kuznetsov equation describing Korteweg–de Vries waves and solitons in a strong, uniform magnetic field is rederived taking space stretching to be isotropic. This equation is then used to investigate nonlinear waves and solitons for long-wave instabilities. A solid angle of instability develops around the plane perpendicular to the magnetic field. For weakly nonlinear waves this angle is very narrow: widening as the amplitude of the nonlinear wave is increased. The soliton wave is unstable for all directions other than parallel to the field. Previous results of other authors, limited to solitons and perpendicular propagation are recovered. Calculations are illustrated by polar diagrams for the perturbations. Some broader implications are pointed out.