Relativistic electromagnetic low-frequency solitary waves are found to occu
r in underdense plasmas in regimes where the laser pulse becomes filamented
and undergoes energy depletion and frequency downshifting. These slowly pr
opagating "subcycle-solitons" represent one of the channels of conversion o
f the laser pulse energy. Electron vortices and their associated quasistati
c magnetic field represent a different important type of long lived coheren
t electromagnetic structures. Their generation is related to the dynamics o
f fast electron currents in the plasma.