Transverse mode solitons in a hot ultrarelativistic electron-positron plasma

A study by Mofiz and Mamun (1992) is extended to consider the nonlinear propagation of the transverse mode in a hot ultrarelativistic electron-positron plasma. It is found that in an ultrarelativistically hot electron-positron plasma, transverse modes, due to their nonlinear interaction with plasma, create intense solitons. For wavelength higher than the plasma Debye length these solitons become spiky in a hot and dense plasma. These solitons propagate with velocities less than the speed of light. Therefore, the nonlinear interaction with electrons and positrons, i.e., the nonlinear Landau damping, stops the solitons without changing its amplitude.