During high bit rate information transmission through optical fiber, polarization mode dispersion (PMD) can cause several problems. PMD has been investigated with respect to birefringence, which is its major origin. The possibilities of high bit rate soliton transmission using various control mechanisms even under the presence of PMD have been reported. Such techniques will enable us to design high bit rate optical communication systems based on solitons. A mathematical model of conventional fibers with PMD is presented with a coupled nonlinear Schrodinger equation. Different soliton transmission control mechanisms such as frequency-domain control, time-domain control, and control using nonlinear gain devices have been modeled and their effects on stability of soliton pulse are studied using numerical simulations. Third-order dispersion (TOD) as a small perturbation has been introduced, and we have investigated the effects of TOD, such as soliton fission, which contributes to supercontinuum generation in a major way.