STABLE LIGHT-BULLET FORMATION IN A KERR MEDIUM - A ROUTE TO MULTIDIMENSIONAL SOLITONS IN THE FEMTOSECOND REGIME

Ultrashort pulsed-beam propagation in a Kerr-type bulk medium is studi ed theoretically through classical and quantum field solutions of a hi gher-order nonlinear Schrodinger equation, which is valid for transver sely localized femtosecond pulses in an anomalous dispersion regime. Q uantum-mechanical stability analysis via a Hartree approximation to in teracting bosons shows that within a certain range of a parameter the solitary wave could be stabilized even in the three-dimensional transv erse space-time. This feature admits of an exotic route to multidimens ional solitons.