[HTML][HTML] An analytical study of the Mikhailov–Novikov–Wang equation with stability and modulation instability analysis in industrial engineering via multiple methods

MN Hossain, MM Miah, MS Abbas, K El-Rashidy… - Symmetry, 2024 - mdpi.com
Solitary waves, inherent in nonlinear wave equations, manifest across various physical
systems like water waves, optical fibers, and plasma waves. In this study, we present this …

[HTML][HTML] Novel Dynamic Behaviors in Fractional Chaotic Systems: Numerical Simulations with Caputo Derivatives

MA Abdoon, DE Elgezouli, B Halouani, AMY Abdelaty… - Axioms, 2024 - mdpi.com
Over the last several years, there has been a considerable improvement in the possible
methods for solving fractional-order chaotic systems; however, achieving high accuracy …

A new investigation of the extended Sakovich equation for abundant soliton solution in industrial engineering via two efficient techniques

MN Hossain, MM Rasid, I Abouelfarag, K El-Rashidy… - Open Physics, 2024 - degruyter.com
Soliton solutions play a crucial role in modeling stable phenomena across optical
communications, fluid dynamics, and plasma physics, owing to their stability and persistence …