[HTML][HTML] Novel soliton solution of discrete nonlinear Schrödinger system in nonlinear optical fiber

Y Asghari, M Eslami, M Matinfar… - Alexandria Engineering …, 2024 - Elsevier
The paper discusses investigating the behavior of the discrete nonlinear Schrödinger
(DNLS) system. This technique combines the exponential function method and the rational …

Analytical soliton solutions of the beta time-fractional simplified modified Camassa-Holm equation in shallow water wave propagation

MM Khatun, MA Akbar - Journal of Umm Al-Qura University for Applied …, 2024 - Springer
In this study, the analytical soliton solutions of the beta time-fractional simplified modified
Camassa-Holm equation, a mathematical model used to describe the propagation of …

[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 …

Optical exact soliton solutions of nonlinear optical transmission equation using two explicit methods

M Sadaf, G Akram, S Arshed - Optical and Quantum Electronics, 2024 - Springer
In this research paper, the main aim is to investigate the nonlinear optical transmission
equation (NOTE) with two explicit methods. The NOTE is a nonlinear partial differential …

Beyond the surface: mathematical insights into water waves and quantum fields

Y Lin, MMA Khater - Optical and Quantum Electronics, 2024 - Springer
This paper examines the complex characteristics of the modified Benjamin–Bona–Mahony
equation (m BBM) and the Klein–Gordon (KG) equation in the field of mathematical physics …

Investigation of soliton solutions to the Peyrard-Bishop-Deoxyribo-Nucleic-Acid dynamic model with beta-derivative

A Secer, M Ozisik, M Bayram, N Ozdemir… - … Physics Letters B, 2024 - World Scientific
This study purposes to extract some fractional analytical solutions of the Peyrard-Bishop-
Deoxyribo-Nucleic-Acid (β-PBDNA) dynamic model with the beta-derivative by the unified …

Korteweg–De Vries–Burger Equation with Jeffreys' Wind–Wave Interaction: Blow-Up and Breaking of Soliton-like Solutions in Finite Time

MA Manna, A Latifi - Fluids, 2023 - mdpi.com
In this study, the evolution of surface water solitary waves under the action of Jeffreys' wind–
wave amplification mechanism in shallow water is analytically investigated. The analytic …

Sciendo

RA Mahmoud Attia, MM Abdelazeem Khater - International Journal of … - sciendo.com
This research endeavors to analytically and numerically solve the nonlinear modified
Benjamin–Bona–Mahony (mBBM) equation, a model of paramount importance in fluid …