Formation of solitary structures and envelope solitons in electron acoustic wave in inner magnetosphere plasma with suprathermal ions

Abstract

The propagation of electron acoustic solitary waves is investigated in magnetized two‐temperature electron plasma with supra‐thermal ion. By using the reductive perturbation technique, the Korteweg de‐Vries (KdV) equation is derived. Later solving this equation, a solitary wave solution has been derived. These are mainly in astrophysical plasmas where changes of local charge density, temperature, and energy of particles produce considerable effects on the plasma system. The effects of supra‐thermality, density, and Mach number on solitary structures are studied in detail. The results show that the supra‐thermal index (κ) and ion to electron temperature ratio (σ) alters the regime where solitary waves may exist. While studying the solitary profile for different parametric variation some interesting conclusion can be drawn; it is shown that the solitary profile becomes flatter. This can be due to the thermal energy associated with the hot electrons. However, with the increase in ion density with respect to the cold electrons' density, the solitary waves become steeper and sharper. This is due to the comparatively heavier mass of ions. The density of cold electron also increases the solitary structures in a similar manner. The higher the density of cold electrons, sharper will be the profile. The above findings will be helpful in understanding many astrophysical phenomena and data obtained by space missions. For a further study, we keep the investigation of the formation of other kinds of stationary structures like shocks, double layers, etc.

Coupled Nonlinear Schrodinger (CNLS) Equations for two interacting electrostatic wavepackets in a non-Maxwellian fluid plasma model

“…Thus, in order to find nontrivial solutions for the two inhomogeneous systems of Eqs. (13), it is imposed that the following determinants should also vanish:…”

“…In the context of plasma fluids, the NLS equations has been derived for the first times in the early '70s [8,9], and subsequently for a large variety of electrostatic plasma models. Recently, its localized solutions (envelope solitons, breathers) have in fact been associated with freak or rogue waves in plasmas [10,11,12,13]. Formally analogous NLS equations focusing on electromagnetic waves in plasmas modeled by fluid-Maxwell equations have been also derived [14,15,16].…”

Two-stream plasma instability as a potential mechanism for particle escape from the Venusian ionosphere

“…In the next part of our study we have focused on that regions where ion-loss occurs. Our study lies in that velocity regime on which two-stream instability leads to a strong acceleration of planetary ions which are very energetic in the range of suprathermal energies [27]. Some newer simulation studies based on homotopy [28][29][30][31][32] could provide some additional information.…”

Examining the Effect of Kappa Index on Solitary Wave Potential at plasma environment of Mars

“…Understanding the effect of the kappa index on solitary wave potentials is crucial for unraveling the underlying physics and predicting the behavior of waves in different plasma environments [23,24]. The kappa index has been found to influence diverse aspects of solitary waves, including their generation, propagation, and stability [25]. The nonlinear behavior of plasma waves and their interaction with the plasma medium can be better understood if the effect of the kappa index on solitary wave potentials is studied.…”