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 …

Optical solitons retrieval for an extension of novel dual-mode of a dispersive non-linear Schrödinger equation

KK Ahmed, HM Ahmed, NM Badra, WB Rabie - Optik, 2024 - Elsevier
In this study, we rearrange the non-linear Schrödinger equation (NLSE) into a dual-mode
structure, which expands it, and then we investigate the geometrical evaluation and …

Discovering novel optical solitons of two CNLSEs with coherent and incoherent nonlinear coupling in birefringent optical fibers

AS Khalifa, WB Rabie, NM Badra, HM Ahmed… - Optical and Quantum …, 2024 - Springer
This article explores a wide range of envelope soliton pulses and their behavior during
propagation through a birefringent optical fiber. The propagation of light in such fibers is …

Exploring solitons in optical twin-core couplers with Kerr law of nonlinear refractive index using the modified extended direct algebraic method

AS Khalifa, HM Ahmed, NM Badra… - Optical and Quantum …, 2024 - Springer
This article studies high dispersion solitons in optical couplers that are composed of
metamaterials using the modified extended direct algebraic method (MEDAM). Different …

Effect of noise on wave solitons for (3+ 1)-dimensional nonlinear Schrödinger equation in optical fiber

KK Ahmed, HM Ahmed, WB Rabie, MF Shehab - Indian Journal of Physics, 2024 - Springer
We investigated the wave solitons for stochastic (3+ 1)-dimensional nonlinear Schrödinger
equation with multiplicative white noise in the Itô sense which can be used to identify various …

Extraction of new optical solitons of conformable time fractional generalized RKL equation via quadrupled power-law of self-phase modulation

MS Ghayad, HM Ahmed, NM Badra… - Optical and Quantum …, 2024 - Springer
In the current work, we investigate the optical solitons and exact solutions for the
conformable time fractional generalized Radhakrishnan–Kundu–Lakshmanan (GRKL) …

Existence of novel analytical soliton solutions in a magneto-electro-elastic annular bar for the longitudinal wave equation

HH Hussein, KK Ahmed, HM Ahmed, A Elsheikh… - Optical and Quantum …, 2024 - Springer
In this paper, a novel application of the improved modified extended tanh function has been
implemented to derive analytical solutions for the longitudinal wave equation in a magneto …

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 …

Optical solitons, dynamics of bifurcation, and chaos in the generalized integrable (2+ 1)-dimensional nonlinear conformable Schrödinger equations using a new …

MAS Murad, FM Omar - Journal of Computational and Applied Mathematics, 2025 - Elsevier
In the present paper, the new Kudryashov approach is utilized to construct several novel
optical soliton solutions for the generalized integrable (2+ 1)-dimensional nonlinear …

Diverse exact solutions to Davey–Stewartson model using modified extended map** method

KK Ahmed, H Ahmed, NM Badra… - … Modelling and Control, 2024 - zurnalai.vu.lt
In this study, we obtain solitary wave solutions and other exact wave solutions for Davey–
Stewartson equation (DSE), which explains how waves move through water with a finite …