A model for a cylindrical fiber whose cladding is an initially homogeneous
nematic liquid crystal is presented. We construct a narrow wavepacket of tr
ansverse magnetic modes propagating through the fiber taking into account t
he dispersion, self-focusing and diffraction in the nematic. Then a nonline
ar Schrodinger equation for the time evolution of its envelope is derived.
The speed, time- and length-scales and nonlinear index of refraction of the
optical solitons are estimated by using typical experimental values for so
me of the parameters. (C) 2000 Elsevier Science B.V. All rights reserved.