This paper studies the optical solitons in birefringent fibers and DWDM systems in presence of log-law nonlinearity with inter-modal dispersion. The Gaussian ansatz is used to carry out the integration of the governing equation. The exact solutions are obtained and the constraint conditions, for the existence of these Gaussons, fall out during the course of derivation of the solution. A brief discussion on Thirring solitons is also included.