Results 21 to 30 of about 1,038 (120)

Exploring highly dispersive optical solitons and modulation instability in nonlinear Schrödinger equations with nonlocal self phase modulation and polarization dispersion [PDF]

Scientific Reports
This study explores the dynamics of highly dispersive optical solitons in nonlinear Schrödinger equations (NLSE) with non-local self-phase modulation (SPM) and polarization-mode dispersion (PMD).
Wafy M. Hasan, Hamdy M. Ahmed, Ahmed M. Ahmed, Haytham M. Rezk, Wafaa B. Rabie   +4 more
doaj   +2 more sources

Analytical wave solutions and bifurcation analysis for optical pulse propagation in resonant nonlinear Schrödinger equation using improved modified extended tanh function method

Beni-Suef University Journal of Basic and Applied Sciences
Background The study of optical pulse propagation through nonlinear media plays a fundamental role in the development of modern fiber-optic communication systems.
Amany Tarek, Hamdy Ahmed, Niveen Badra, Islam Samir   +3 more
doaj   +2 more sources

Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method

Ain Shams Engineering Journal
The higher order nonlinear Schrödinger equation (NLSE) describes ultrashort pulse propagation in optical fibres. In this paper, we discuss analytically the non-linear schrödinger equation with higher order dispersion terms up to sixth order and sextic ...
Islam Samir, Hamdy M. Ahmed, Adel Darwish, Hisham H. Hussein   +3 more
doaj   +2 more sources

Influence of Truncated M-Fractional Derivative on Soliton Dynamics and Stability Analysis of Fifth-Order KdV Equation Using Improved Modified Extended Tanh Function Method

Fractal and Fractional
In this study, we explore the soliton solutions of the truncated M-fractional fifth-order Korteweg–de Vries (KdV) equation by applying the improved modified extended tanh function method (IMETM).
Rawan Bossly, Noorah Mshary, Hamdy M. Ahmed   +2 more
doaj   +2 more sources

Construction of solitons and other solutions for NLSE with Kudryashov’s generalized nonlinear refractive index

Alexandria Engineering Journal, 2023
In our study we implement an improved modified extended tanh-function (IMETF) method for constructing new solitons and other types of solutions with NLSE having Kudryashov’s generalized nonlinear refractive index.
Manar Ahmed, Afaf Zaghrout, Hamdy M. Ahmed   +2 more
doaj   +1 more source

Optical solutions and other solutions for Radhakrishnan-Kundu-Laksmannan equation by using improved modified extended tanh-function method [PDF]

, 2021
Abstract This paper studies Radhakrishnan-Kundu-Laksmannan equation which is used to describe the pulse propagation in optical fiber communications. By using improved modified extended tanh-function method various types of solutions are extracted such as bright solitons, singular solitons, singular periodic wave solutions, Jacobi elliptic ...
Ahmed M. Elsherbeny, Reda El–Barkouky, Hamdy Ahmed, Rabab M. I. El-Hassani, Ahmed H. Arnous   +4 more
openaire   +1 more source

Constructing new solitary wave solutions to the strain wave model in micro-structured solids

Alexandria Engineering Journal, 2022
In the present article, the improved modified extended tanh function method is implemented to investigate the strain wave model which governs the wave propagation in micro-structured solids.
Taher A. Nofal, Islam Samir, Niveen Badra, Adel Darwish, Hamdy M. Ahmed, Ahmed H. Arnous   +5 more
doaj   +1 more source

Constructions of the soliton solutions to coupled nonlinear Schrödinger equation with advanced mathematical techniques

AIP Advances, 2023
In our research paper, we explore the application of mathematical techniques, both analytical and numerical, to solve the coupled nonlinear Schrödinger equation.
Taghread Ghannam Alharbi, Abdulghani Alharbi   +1 more
doaj   +1 more source

A Study of Traveling Wave Structures and Numerical Investigations into the Coupled Nonlinear Schrödinger Equation Using Advanced Mathematical Techniques

Mathematics, 2023
This article explores adapted mathematical methods to solve the coupled nonlinear Schrödinger (C-NLS) equation through analytical and numerical methods.
Taghread Ghannam Alharbi, Abdulghani Alharbi   +1 more
doaj   +1 more source

Construction of new solitons and other wave solutions for a concatenation model using modified extended tanh-function method

Alexandria Engineering Journal, 2023
In this work, we consider a concatenation model that is a concatenated version of the familiar nonlinear Schrödinger’s equation, Lakshmanan–Porsezian–Daniel equation and the Sasa–Satsuma equation.
Wafaa B. Rabie, Hamdy M. Ahmed, Adel Darwish, Hisham H. Hussein   +3 more
doaj   +1 more source