Conditions for the existence of laser bullets

Conditions for the existence of completely localized three-dimensional diss ipative laser solitons-"laser bullets" in a medium with nonlinear amplifica tion and absorption and frequency dispersion are studied. Solitons with dif ferent profiles are considered and the regions of their stable existence ar e found. The stability of spherical solitons is studied as a function of fr equency mismatch of amplification and absorption lines by the method of dir ect numerical simulation. (C) 2000 MAIK "Nauka/Interperiodica".