Standing electromagnetic solitons in degenerate relativistic plasmas

•We study the standing electromagnetic (EM) solitons in the fully degenerate electron plasma.•The theory is based on the manifestly covariant Maxwell–Fluid model equations.•We show that the stable standing solitons exist for arbitrary level of plasma degeneracy.

The existence of standing high frequency electromagnetic (EM) solitons in a fully degenerate overdense electron plasma is studied applying relativistic hydrodynamics and Maxwell equations. The stable soliton solutions are found in both relativistic and nonrelativistic degenerate plasmas.