Novel approximations to a nonplanar nonlinear Schrödinger equation and modeling nonplanar rogue waves/breathers in a complex plasma

SA El-Tantawy, AH Salas, HA Alyousef… - Chaos, Solitons & …, 2022 - Elsevier
Studying the dynamics of several nonlinear structures that arise in nonlinear science
including optical fiber and various plasma models in a nonplanar (cylindrical and spherical) …

On the analytical and numerical approximations to the forced damped Gardner Kawahara equation and modeling the nonlinear structures in a collisional plasma

HA Alyousef, AH Salas, RT Matoog, SA El-Tantawy - Physics of Fluids, 2022 - pubs.aip.org
We perform a detailed study on the completely non-integrable forced damped
Gardner/Extended Kawahara equation (FDEKE). Three techniques are introduced to …

Analytical investigation of fractional-order Korteweg–De-Vries-type equations under Atangana–Baleanu–Caputo operator: Modeling nonlinear waves in a plasma and …

NA Shah, HA Alyousef, SA El-Tantawy, R Shah… - Symmetry, 2022 - mdpi.com
This article applies the homotopy perturbation transform technique to analyze fractional-
order nonlinear fifth-order Korteweg–de-Vries-type (KdV-type)/Kawahara-type equations …

On the shock wave approximation to fractional generalized Burger–Fisher equations using the residual power series transform method

SA El-Tantawy, RT Matoog, R Shah, AW Alrowaily… - Physics of …, 2024 - pubs.aip.org
The time-fractional generalized Burger–Fisher equation (TF-GBFE) has various applications
across various scientific and engineering disciplines. It is used for investigating various …

Study on extensions of (modified) Korteweg–de Vries equations: Painlevé integrability and multiple soliton solutions in fluid mediums

AM Wazwaz, W Alhejaili, SA El-Tantawy - Physics of Fluids, 2023 - pubs.aip.org
This work develops two higher-dimensional extensions for both Korteweg–de Vries (KdV)
and modified KdV (mKdV) equations. We investigate the Painlevé integrability of each …

Novel approximate analytical solutions to the nonplanar modified Kawahara equation and modeling nonlinear structures in electronegative plasmas

RA Alharbey, WR Alrefae, H Malaikah, E Tag-Eldin… - Symmetry, 2022 - mdpi.com
In this investigation, the nonplanar (spherical and cylindrical) modified fifth-order Korteweg–
de Vries (nmKdV5) equation, otherwise known as the nonplanar modified Kawahara …

A comparative analytical investigation for some linear and nonlinear time-fractional partial differential equations in the framework of the Aboodh transformation

S Noor, W Albalawi, R Shah, A Shafee… - Frontiers in …, 2024 - frontiersin.org
This article discusses two simple, complication-free, and effective methods for solving
fractional-order linear and nonlinear partial differential equations analytically: the Aboodh …

Mathematical frameworks for investigating fractional nonlinear coupled Korteweg-de Vries and Burger's equations

S Noor, W Albalawi, R Shah, MM Al-Sawalha… - Frontiers in …, 2024 - frontiersin.org
This article utilizes the Aboodh residual power series and Aboodh transform iteration
methods to address fractional nonlinear systems. Based on these techniques, a system is …

On the analytical soliton approximations to fractional forced Korteweg–de Vries equation arising in fluids and plasmas using two novel techniques

W Alhejaili, EA Az-Zo'bi, R Shah… - … in Theoretical Physics, 2024 - iopscience.iop.org
The current investigation examines the fractional forced Korteweg–de Vries (FF-KdV)
equation, a critically significant evolution equation in various nonlinear branches of science …

A novel analytical technique for analyzing the (3+ 1)-dimensional fractional calogero-bogoyavlenskii-schiff equation: investigating solitary/shock waves and many …

S Noor, HA Alyousef, A Shafee, R Shah… - Physica …, 2024 - iopscience.iop.org
This work presents a thorough analysis of soliton wave phenomena in the (3+ 1)-
dimensional Fractional Calogero-Bogoyavlenskii-Schiff equation (FCBSE) with Caputo's …