M.Phil / MS

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This collection archives the complete set of theses produced by students of the COMSATS University Islamabad, Lahore Campus.

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Author: search.filters.author.CIIT/SP17-RMT-016/LHRSubject: search.filters.subject.Department of Mathematics

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    Jacobi Elliptic and Solitons for Nonlinear Schrödinger Equations
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2018) Marwa Ahmad; CIIT/SP17-RMT-016/LHR; Dr. Syed Tahir Raza Rizvi; LHR TP 5440
    The 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.
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