We demonstrate that a dark soliton is a stable nonlinear coherent mode in electron-positron plasmas. The dark soliton comprises the minimum of the electromagnetic energy density and the minimum of the plasma density. Contrary to a bright soliton, the dark soliton can advect the trapped charged particles. The energy of trapped particles is well above the kinetic energy of the particles in the background plasma.

• Received 12 July 2001

DOI:https://doi.org/10.1103/PhysRevE.64.066401