Electron trapping in the electrosound solitary wave for propagation of high intensity laser in a relativistic plasma

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

“…The theoretical investigation of relativistic solitons in electron-ion plasmas is a relatively old problem in plasma physics, which has been researched by many authors in the past. It has recently gained new attention in several studies [1][2][3][4][5][6][7][8][9][10][11][12]. The analyzes have been performed mainly in the framework of the one-dimensional relativistic fluid approximation.…”

“…The effect of relativistic trapped electrons in the propagation of an electro-sound wave in fully-relativistic plasma is investigated in [10]. 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.…”

“…Using equations (3)-( 5) and the definition of the kinetic momentum, we have 9) are the expressions for the parallel component of the momentum, relativistic factor and number densities of the species as functions of potentials and enthalpy. The subscript zero in equations ( 9)- (10) shows the quantities at infinity x  ¥ ( ) , , where the vector and scalar potential vanishes. The equations ( 6)-( 10 ) V 0 is associated to the situation that the plasma fluid and the soliton are both moving in the opposite direction.…”

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

“…The nonlinear interaction of plasmas with high intensity lasers is of great current interest [1][2][3][4][5][6][7]. The possibility of reaching the extreme power levels with such setups is one of the promising aspects of laser-plasma systems [8] and holds the potential of overcoming the laser intensity limit ℎ ≈ 10 25 W/cm 2 [9]. As the field strength approaches the critical Schwinger value crit ≈ 10 16 V/cm [10], there is a possibility of the photon-photon scattering, even within a plasma [11], since the ponderomotive force due to the intense laser pulse gives rise to plasma channels [12][13][14].…”

Solitary Waves of Ultra Intense Laser Pulses in a Fully Relativistic Plasma Channel

“…In such a situation, consideration of the relativistic electron mass variation [4]- [8] as well as the relativistic ponderomotive force [9], [10] is very essential in the study of nonlinear laser plasma interactions.…”