Studying the impacts of M-fractional and beta derivatives on the nonlinear fractional model

F Batool, MS Suleman, U Demirbilek… - Optical and Quantum …, 2024 - Springer
The major goal of the current research is to investigate the effects of fractional parameters on
the dynamic response of soliton waves of fractional non-linear density-dependent reaction …

Probing wave dynamics in the modified fractional nonlinear Schrödinger equation: implications for ocean engineering

D Chou, SM Boulaaras, HU Rehman, I Iqbal - Optical and Quantum …, 2024 - Springer
The nonlinear Schrödinger equation is used to model various phenomena, such as solitons
self-focusing effects and rogue waves. In the ocean engineering, the modified nonlinear …

Symmetry breaking and dynamics of solitons in regular and parity-time-symmetric nonlinear coupler supported by fractional dispersion

X He, Y Zhai, Q Cai, R Li, P Li - Chaos, Solitons & Fractals, 2024 - Elsevier
The present work investigates symmetry breaking in dual-core couplers with fractional
dispersion, cubic self-focusing, gain and loss effects acting in each core, modeled by …

[HTML][HTML] Investigating the noise effect on the CGL model having parabolic law of nonlinearity

Y Alhojilan, HM Ahmed - Results in Physics, 2023 - Elsevier
Abstract The stochastic complex Ginzburg–Landau model with parabolic law nonlinearity
and chromatic dispersion is investigated in this research study. In many fields of science …

Pioneering the plethora of soliton for the (3+ 1)-dimensional fractional heisenberg ferromagnetic spin chain equation

I Ullah, K Shah, T Abdeljawad, S Barak - Physica Scripta, 2024 - iopscience.iop.org
In this scholarly article, we investigate the complex structured (3+ 1)-dimensional Fractional
Heisenberg Ferromagnetic Spin Chain equation (FHFSCE) with conformable fractional …

Analyzing chaos and superposition of lump waves with other waves in the time-fractional coupled nonlinear schördinger equation

SZ Majid, MI Asjad, MB Riaz, T Muhammad - PloS one, 2024 - journals.plos.org
This article aims to study the time fractional coupled nonlinear Schrödinger equation, which
explains the interaction between modes in nonlinear optics and Bose-Einstein …

[HTML][HTML] Existence and uniqueness solution analysis of time-fractional unstable nonlinear Schrödinger equation

MA Khatun, MA Arefin, MA Akbar, MH Uddin - Results in Physics, 2024 - Elsevier
The time-fractional unstable nonlinear Schrödinger (NLS) equations capture the time
evolution of disturbances within media, tailored for describing phenomena in unstable …

On the soliton structures to the space-time fractional generalized reaction Duffing model and its applications

KU Tariq, M Inc, MS Hashemi - Optical and Quantum Electronics, 2024 - Springer
In this study, the space-time fractional generalised reaction duffing model is investigated
analytically, which is a generalization for a collection of prominent fractional models …

Exploring stochastic dynamics with different wave structures for the Nizhnik–Novikov–Veselov system and their applications

J Ahmad, S Rani - Optical and Quantum Electronics, 2024 - Springer
The article is focused on the analysis of a mathematical model known as the Nizhnik–
Novikov–Veselov (SNNV) system, which incorporates a specialized mathematical tool called …

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 …