International Journal of Applied Mathematics and Theoretical Physics

Volume 11, Issue 1, March 2025

  • Research Article

    Dynamics of Generalized Unstable Nonlinear Schrödinger Equation: Instabilities, Solitons, and Rogue Waves

    Jibrin Sale Yusuf*

    Issue: Volume 11, Issue 1, March 2025
    Pages: 1-18
    Received: 30 October 2024
    Accepted: 10 December 2024
    Published: 20 January 2025
    DOI: 10.11648/j.ijamtp.20251101.11
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    Abstract: This study delves into the dynamics of the unstable Schrödinger equation, employing three distinct analytical methods: the complex envelope function ansatz, the generalized Tanh method, and the Bernoulli sub-ODE method. By leveraging the complex envelope function technique, we uncover solutions for various optical soliton types, including dark opti... Show More