Results 11 to 20 of about 25,526 (214)

Analytical construction and visualization of nonlinear waves in the (2+1) dimensional Kadomtsev-Petviashvili-Sawada-Kotera-Ramani equation with stability analysis [PDF]

Scientific Reports
In this study, we investigate the (2+1)-dimensional Kadomtsev–Petviashvili–Sawada–Kotera–Ramani (KPSKR) equation, a physically significant model describing nonlinear wave phenomena in higher-dimensional spaces.
Mahy Ahmed, Hamdy M. Ahmed, Niveen Badra, Islam Samir   +3 more
doaj   +2 more sources

Advanced soliton structures and elliptic wave patterns in a sixth-order nonlinear Schrödinger equation using improved modified extended tanh function method [PDF]

Scientific Reports
In this work, a sixth–order extension of the nonlinear Schrödinger equation (NLSE) within its integrable hierarchy is investigated to model higher–order nonlinear and dispersive effects relevant to optical fiber systems and nonlinear wave propagation. By
Mina M. Fahim, Hamdy M. Ahmed, K. A. Dib, Islam Samir   +3 more
doaj   +2 more sources

Analytical wave solutions in thermoelastic media with temperature-dependent properties via IMETF method [PDF]

Scientific Reports
This study delivers an in-depth analytical investigation of exact wave solutions derived within the context of the Three-Phase-Lag (3PHL) generalized thermoelasticity model, explicitly incorporating the temperature dependence of material properties.
Mohamed F. Ismail, Hamdy M. Ahmed, Soha Safwat, M. Elsaid Ramadan, Nesreen Sirelkhtam Elmki Abdalla, Mahmoud Soliman   +5 more
doaj   +2 more sources

Analytical characterization of optical solitons and bifurcation analysis for the (2+1)-D Wazwaz-Kaur Boussinesq equation [PDF]

Scientific Reports
In this paper, we address the analytical study of optical soliton solutions and the dynamical behavior of the (2+1)-dimensional Wazwaz-Kaur Boussinesq (WKB) equation, which models nonlinear wave propagation in higher-dimensional physical systems ...
Islam Samir, Niveen Badra, Nesreen Sirelkhtam Elmki Abdalla, M. Elsaid Ramadan, Hamdy M. Ahmed   +4 more
doaj   +2 more sources

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

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 a laser pulse on thermoelasticity with temperature dependence under the dual-phase-lag model using improved modified extended tanh function method

Results in Physics
In this paper, the improved modified extended tanh function method (IMETFM) is introduced for analyzing the influence of laser pulse on a thermo-elastic with temperature-dependence under a dual phase lag model (DPL).
Wafaa B. Rabie, Hamdy M. Ahmed, Abdallah A. Syied, Assmaa Abd-Elmonem, Nagat A.A. Suoliman, Mohamed F. Ismail   +5 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