Dark and bright soliton in fiber optics

Nonlinear Schrödinger equation is a general form for modeling and explaining the phenomenon of nonlinear physics system. Nonlinear Schrödinger Equation (NSE) describes the propagation of light pulses that are stable in Kerr medium. This paper discusses the analytic formulation of nonlinear Schrödinger equation which is influenced by Stimulated Raman Scattering and Self Steepening derived from Maxwell's equations. The NSE equation is also influenced by the linear response of a dielectric material and nonlinear dielectric response. The propagation profile of pulse soliton is stable and this is suitable to be implemented in optical communication to carry the information.