Standing electromagnetic solitons in hot ultra-relativistic electron-positron plasmas

Abstract

Using a one-dimensional self-consistent fluid model, we investigate standing relativistic bright solitons in hot electron-positron plasmas. The positron dynamics is taken into account. A set of nonlinear coupled differential equations describing the evolution of electromagnetic waves in fully relativistic two-fluid plasma is derived analytically and solved numerically. As a necessary condition for the existence of standing solitons the system should be relativistic. For the case of ultra-relativistic plasma, we investigate non-drifting bright solitary waves. Detailed discussions of the acceptable solutions are presented. New single hump non-trivial symmetric solutions for the scalar potential were found, and single and multi-nodal symmetric and anti-symmetric solutions for the vector potential are presented. It is shown that for a fixed value of the fluid velocity excited modes with more zeros in the profile of the vector potential show a higher magnitude for the scalar potential. An increase in the plasma fluid velocity also increases the magnitude of the scalar potential. Furthermore, the Hamiltonian and the first integral of the system are given.

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“…Lontano et al [28] have shown that relativistic electromagnetic solitons in a warm quasi-neutral electron-ion plasma have a large amplitude in the case of higher electron and ion temperatures. [32][33][34][35][36], and e-p pairs/plasmas have been generated in the laboratory as well [37][38][39][40][41]. This is done for all the three types of the perturbing pulses ( Table 3).…”

Relativistic Laser-Plasma Interactions. Moving Solitary Waves in Plasma Channels and the Kinetic Dispersion Relation of Cherenkov Radiation

“…The quantity represents the species of the plasma. Now, in the case where the thermal pressure is much smaller than the magnetic one, the kinetic dispersion relation of the system with regard for relativistic corrections can be written as ( − k ) (ln + ln ) (15) represents the effects of the temperature and the inhomogeneity of the plasma, and and ⊥ are the components of the wave number which are oriented in parallel and perpendicularly to the magnetic field, respectively. Note that, in the limit → 0, Eq.…”

“…The main nonlinear effects in the propagation of intense electromagnetic pulses through a plasma arise from the relativistic variation of the electron mass (relativistic nonlinearity) and from a perturbation in c ○ E. HEIDARI, 2017 the electron density, which takes place because of the ponderomotive forces due to the radiation fields (strict nonlinearity). Both these effects change the effective dielectric constant of the plasma medium for the propagation of electromagnetic waves and lead to a coupling between the transverse electromagnetic wave and the longitudinal waves in the plasma medium [15].…”

Role of plasma velocity on symmetric and antisymmetric solutions of moving solitons for electron–positron plasma

“…It was observed that as the flow velocity of the plasma changes, the shape of the solitary wave shows two opposing behaviors depending on whether the solitary wave velocity is larger than the flow velocity or smaller than the flow velocity. Relativistic solitary waves in pure electron-positron plasma have been researched by many authors [13][14][15][16][17][18][19][20][21]. Lontano et al [14] derived the soliton-like distributions of electromagnetic radiation based on a relativistic kinetic model.…”