Abstract
The possibility of ion-acoustic solitary waves in a fully relativistic plasma comprised of electrons and ions is investigated by the pseudopotential method. Applying the gas-dynamic approach developed by McKenzie [Phys. Plasmas 9, 800 (2002)] to the energy conservation laws, it is shown that, as in nonrelativistic plasmas, only compressive ion-acoustic solitary waves are possible in two-component relativistic plasmas in the case where the ions are supersonic and electrons are subsonic. It is also shown that, by introducing the relativistic ion-acoustic velocity, various existence conditions for the solitary waves in relativistic two-fluid plasmas can be cast into forms that are identical to the nonrelativistic counterparts found by the gas-dynamic approach. It can be suggested that the method presented in this study can be extended for the investigation of other kinds of electrostatic solitary waves in relativistic multicomponent plasmas.
Published Version
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