Abstract
Solitons evolve in a nonlinear and dispersive medium whenever the balance is obtained between the effects of dispersion and nonlinearity. In this work, we study the impact of an external magnetic field on electromagnetic soliton profile in nonrelativistic two-fluid plasma using IMEX scheme. We found that different kinds of perturbing pulses create two solitons of same characteristics, propagating in opposite directions. For the present study, we considered three kinds of perturbing pulses of equal amplitudes but different widths as 0.003, 0.011 and 0.015. The propagation characteristics of the solitons, viz. crest of soliton amplitude, its width and velocity, are evaluated under the impact of an external magnetic field. In addition, we generalize the case by examining different plasma models by selecting different mass and temperature ratios of the ions and the electrons. This is done at the fixed external magnetic field strength of 0.06T and 0.01 T.
Highlights
Literature reviewAn abundance of studies has been done on the electromagnetic waves (e.g., microwave) and plasma interaction by various researchers [1,2,3,4]
Liang et al [24] have derived a cylindrical Kadomtsev–Petviashivili equation for a relativistic electromagnetic soliton in weakly relativistic collisionless plasma which consists of electrons, ions and positrons in the presence of an applied static and uniform magnetic field; they obtained the explicit expression for the width, amplitude and velocity of the soliton
We study the impact of external magnetic field, ion-to-electron temperature ratio and ion mass on the width, amplitude and velocity of electromagnetic solitons excited by three different pulses of different widths and same amplitude
Summary
An abundance of studies has been done on the electromagnetic waves (e.g., microwave) and plasma interaction by various researchers [1,2,3,4]. Liang et al [24] have derived a cylindrical Kadomtsev–Petviashivili equation for a relativistic electromagnetic soliton in weakly relativistic collisionless plasma which consists of electrons, ions and positrons in the presence of an applied static and uniform magnetic field; they obtained the explicit expression for the width, amplitude and velocity of the soliton. We study the impact of external magnetic field, ion-to-electron temperature ratio and ion mass on the width, amplitude and velocity of electromagnetic solitons excited by three different pulses of different widths and same amplitude. To test the effects of the external magnetic field on the soliton motion, we modify the Lorentz force term acting on each species by adding external magnetic field B. ext in the source term Being uniform, this field modifies the trajectory of the ions and electrons in the plasma but does not contribute to the electric field of the electromagnetic wave.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
