Short-wavelength soliton in ultrarelativistic electron–positron–ion plasmas

Abstract

We derive a nonlinear equation governing dynamics of short-wavelength longitudinal waves in ultrarelativistic electron–positron–ion plasmas. In contrast to the recent work by Lashkin [Phys. Plasmas 27, 102302 (2020)], where a similar equation was suggested in the framework of the Wigner function approach for a nonrelativistic electron–ion degenerate plasma, in our case which is based on the Vlasov kinetic equation, all three species of particles (electrons, positrons, and ions) should be present. The nonlinearity arises only in the presence of a population of ions. By numerical simulations, we demonstrate that collisions between even four solitons are fully elastic.

Boundary effects on dispersion relations of ion-acoustic wave and physical properties of overlapping soliton in a plasma waveguide

“…The importance of the e-p-i plasma has led to a considerable amount of investigations. In the last few decades, there has been a rapidly growing interest [22][23][24][25][26][27][28][29][30][31][32][33] in studying both linear and nonlinear waves in such kinds of plasma. Therefore, in the present study, a typical e-p-i plasma [33] was chose as an example to give a detailed theoretical investigation for the boundary effects on dispersion relations of IA wave and physical properties of overlapping soliton.…”