Dispersive perturbations of solitons for conformable fractional complex Ginzburg–Landau equation with polynomial law of nonlinearity using improved modified …

M Soliman, I Samir, HM Ahmed, N Badra… - Optical and Quantum …, 2024 - Springer
This study examines the analytic wave solutions of a highly dispersive perturbed complex
Ginzburg–Landau equation (CGLE) with conformable fractional derivative and polynomial …

Novel dynamics of the fractional KFG equation through the unified and unified solver schemes with stability and multistability analysis

N Alam, MS Ullah, TA Nofal, HM Ahmed… - Nonlinear …, 2024 - degruyter.com
Abstract The nonlinear fractional Klein–Fock–Gordon (KFG) equation represents an
advanced theoretical physics and applied mathematical tool that provides a more …

[HTML][HTML] Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear …

I Samir, KK Ahmed, HM Ahmed, H Emadifar, WB Rabie - Physics Open, 2024 - Elsevier
Stochastic optical solitons are a fascinating phenomenon in nonlinear optics where soliton-
like behavior emerges in systems affected by stochastic noise. This study investigates the …

[HTML][HTML] Characterizing stochastic solitons behavior in (3+ 1)-dimensional Schrödinger equation with Cubic–Quintic nonlinearity using improved modified extended …

KK Ahmed, HM Ahmed, MF Shehab, TA Khalil… - Physics Open, 2024 - Elsevier
Abstract An extended version of (3+ 1)-dimensional non-linear Schrödinger equation that
has a cubic–quintic nonlinear component under the stochastic effects is examined in this …

Multiple soliton solutions and other travelling wave solutions to new structured (2+ 1)-dimensional integro-partial differential equation using efficient technique

HH Hussein, HM Ahmed, WB Rabie, KK Ahmed… - Physica …, 2024 - iopscience.iop.org
The Ito equation belongs to the Korteweg–de Vries (KdV) family and is commonly employed
to predict how ships roll in regular seas. Additionally, it characterizes the interaction between …

[PDF][PDF] New soliton wave structure and modulation instability analysis for nonlinear Schrödinger equation with cubic, quintic, septic, and nonic nonlinearities

AS Khalifa, HM Ahmed, NM Badra, WB Rabie… - AIMS …, 2024 - aimspress.com
We have introduced various novel soliton waves and other analytic wave solutions for
nonlinear Schrödinger equation with cubic, quintic, septic, and nonic nonlinearities. The …

[HTML][HTML] Revealing solitons in magneto-optic waveguides for a system of stochastic nonlinear Schrödinger equations with parabolic-nonlocal law of refractive index

MA El-bassiouny, HM Ahmed, MA Abdel-Khalek… - Alexandria Engineering …, 2025 - Elsevier
This research investigates the effect of white noise on the waves propagated in magneto-
optic waveguides. A coupled system of stochastic nonlinear Schrödinger equations (NLSEs) …

[HTML][HTML] Analysis of the dynamical behaviors for the generalized Bogoyavlvensky–Konopelchenko equation and its analytical solutions occurring in mathematical …

KK Ahmed, HH Hussein, HM Ahmed, WB Rabie… - Ain Shams Engineering …, 2024 - Elsevier
In the domains of fluid mechanics, hydrodynamics, and marine engineering, Bogoyavlensky–
Konopelchenko equations are of great interest to mathematicians and physicists as a means …

Optical solitons for generalised perturbed nonlinear Schrödinger model in the presence of dual-power law nonlinear medium

MH Ali, HM Ahmed, A Abd-Elmonem, NAA Suoliman… - Optik, 2024 - Elsevier
We use the generalised nonlinear Schrödinger equation in this research work to study the
localised wave propagation in a dual-power law medium that shows perturbations' effects …

[PDF][PDF] Derivation of some solitary wave solutions for the (3+ 1)-dimensional pKP-BKP equation via the IME tanh function method

AS Khalifa, HM Ahmed, NM Badra, J Manafian… - AIMS …, 2024 - aimspress.com
This study is focusing on the integrable (3+ 1)-dimensional equation that combines the
potential Kadomtsev-Petviashvili (pKP) equation with B-type Kadomtsev-Petviashvili (BKP) …