Sensitivity analysis and propagation of optical solitons in dual-core fiber optics

U Younas, F Yao, HF Ismael, TA Sulaiman… - Optical and Quantum …, 2024 - Springer
In this manuscript, under consideration model is the decoupled nonlinear Schrodinger
equation (NLSE) arising in dual-core optical fibers. The NLSEs have become more popular …

Analyzing optical soliton solutions in Kairat-X equation via new auxiliary equation method

WA Faridi, GH Tipu, MB Riaz, AM Mostafa… - Optical and Quantum …, 2024 - Springer
The paper introduce a novel auxiliary equation method for the successful derivation of
traveling wave solutions for the non-linear Kairat-X (KX) equation. Along with other novel …

Bifurcation, phase plane analysis and exact soliton solutions in the nonlinear Schrodinger equation with Atangana's conformable derivative

MN Alam, M Iqbal, M Hassan, M Fayz-Al-Asad… - Chaos, Solitons & …, 2024 - Elsevier
The nonlinear Schrodinger equation (NLSE) with Atangana's conformable fractional
derivative (ACFD) is an equation that describes how the quantum state of a physical system …

[HTML][HTML] Dynamics of M-truncated optical solitons and other solutions to the fractional Kudryashov's equation

U Younas, F Yao, N Nasreen, A Khan, T Abdeljawad - Results in Physics, 2024 - Elsevier
The study of soliton theory plays a crucial role in the telecommunication industry's utilization
of nonlinear optics. The principal area of research in the field of optical solitons revolves …

[HTML][HTML] Study the behavior of soliton solution, modulation instability and sensitive analysis to fractional nonlinear Schrödinger model with Kerr Law nonlinearity

Y Chahlaoui, A Ali, S Javed - Ain Shams Engineering Journal, 2024 - Elsevier
Abstract The Fractional Nonlinear Schrödinger Model (FNLSM) with Kerr law nonlinearity, a
popular model for simulating a variety of physical events, is the subject of this study. Our …

Analysing of different wave structures to the dissipative NLS equation and modulation instability

EC Aslan, D Deniz, M Inc - Optical and Quantum Electronics, 2024 - Springer
Abstract This study investigates the (1+ 1) dimensional dissipative nonlinear Schrödinger
equation, which has applications in modeling the evolution of swell in the ocean. Two …

[HTML][HTML] The kink solitary wave and numerical solutions for conformable non-linear space–time fractional differential equations

KK Ali, A Zafar, W Razzaq, H Ahmad, FA Awwad… - Results in Physics, 2024 - Elsevier
This paper is about the conformable non-linear space–time fractional Telegraph and the non-
linear space–time fractional Kolmogorov–Petrovskii–Piskunov (KPP) equations. To construct …

Optical soliton solutions: the evolution with changing fractional-order derivative in Biswas–Arshed and Schrödinger Kerr law equations

Asaduzzaman, MA Akbar - Optical and Quantum Electronics, 2024 - Springer
The space–time fractional Biswas–Arshed and Schrödinger Kerr law equations featuring
beta derivative hold substantial application in nonlinear optics, optical solitons, ultrafast …

Exact solutions of the fractional resonant nonlinear Schrödinger equation

Y Xu, Y Feng, J Jiang - Optical and Quantum Electronics, 2023 - Springer
In this study, we extend the resonant nonlinear Schrödinger equation with dual-power law
nonlinearity to the fractional case. Consequently, novel exact solutions are derived. The …

Numerical analysis of dengue transmission model using Caputo–Fabrizio fractional derivative

AS Alshehry, H Yasmin, AA Khammash, R Shah - Open Physics, 2024 - degruyter.com
This study demonstrates the use of fractional calculus in the field of epidemiology,
specifically in relation to dengue illness. Using noninteger order integrals and derivatives, a …