Work

Bifurcation analysis and the modulation instability in a nonlinear silica optical fibers

Year: 2025

Type: article

Abstract: The Schäfer-Wayne equation (SWE), a crucial model for ultrashort pulse propagation in nonlinear silicon optical fibers, is investigated using the $ F $-expansion method and enhanced modified extended tanh expansion method (EMETEM). We derive diverse solitary wave solutions, including dark, bright, periodic, multi-peak periodic, and breather-like periodic solutions, visualized through $ 2D $ and $ 3D $ graphics. Novel contributions include comprehensive bifurcation analysis via planar dynamical systems revealing phase portrait classifications, modulation instability analysis for solution stability evaluation, and sensitivity analysis assessing parameter dependence and initial condition effects. The diverse solitary wave solutions represent a new advancement in understanding SWE dynamics. The study demonstrates the methods' robustness in examining nonlinear wave dynamics with applications in optics, engineering, and telecommunications.

Source: AIMS Mathematics

DOI: 10.3934/math.2025749

Authors: Maha Alammari, Muhammad Abuzar, Solomon Manukure

Institutions: King Saud University, Guizhou Normal University, Florida Agricultural and Mechanical University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4412639002