Marwa AhmadCIIT/SP17-RMT-016/LHRDr. Syed Tahir Raza RizviLHR TP 54402026-04-292018https://repository.cuilahore.edu.pk/123456789/3745The Nonlinear Schrödinger Equation plays a central role in describing wave propagation in nonlinear media such as optical fibers, plasmas, and Bose–Einstein condensates. This study explores exact solutions of the equation using Jacobi Elliptic Functions, which provide periodic wave structures, and their limiting forms that lead to Solitons. The analysis highlights how different parameter regimes yield distinct wave profiles, ranging from periodic patterns to localized solitary waves. These solutions are important for understanding stability, modulation, and nonlinear wave dynamics in various physical systems.enDepartment of MathematicsSP17MathematicsplasmasNonlinear Schrödinger Equation (NLSE)Jacobi Elliptic FunctionsDr. Syed Tahir Raza RizviThesis