Exact Solutions of the (1+1)-dimensional Nonlinear Schrödinger Equation Via a Novel Analytical Approach
Year: 2025
Type: article
Abstract: This study investigates the (1+1)-dimensional chiral nonlinear Schrödinger (NLS) equation, crucial in nuclear physics for modeling chiral soliton propagation. The Extended Direct Algebraic Method (EDAM) is employed to derive a diverse range of exact solutions, including periodic, solitary, dark, bright, mixed trigonometric, hyperbolic, and rational wave solutions. These solutions provide valuable insights into the complex behavior of chiral nonlinear systems. A sensitivity analysis assesses the impact of initial condition and parameter perturbations on solution stability, highlighting the robustness and reliability of the obtained solutions. The findings contribute significantly to understanding chiral NLS equations, with potential applications in Ultrafast signal routing systems, Optical communication, Nonlinear optics, Condensed matter physics. This research advances theoretical knowledge and provides a solid foundation for future studies on chiral nonlinear systems. The exact solutions obtained can be used to model and analyze complex phenomena in various fields, demonstrating the versatility and efficacy of the mEDAM technique.
Source: Fractals
Authors: KHALED MAHDI, MUHAMMAD BILAL, SEHAM SH. TANTAWY, SALAH BOULAARAS, ALHANOUF ALBURAIKAN, HAMIDEN ABD EL-WAHED KHALIFA
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4409089090