[PDF][PDF] Cubic-quartic optical solitons for Lakshmanan-Porsezian-Daniel equation by the improved Adomian decomposition scheme

AA Al Qarni, AM Bodaqah, A Mohammed, AA Alshaery… - Ukr. J. Phys. Opt., 2022 - ifo.lviv.ua
We study a class of Lakshmanan–Porsezian–Daniel equations endowed with a cubic–
quartic nonlinearity. A highly efficient improved Adomian decomposition approach is …

Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model

KK Ali, C Cattani, JF Gómez-Aguilar, D Baleanu… - Chaos, Solitons & …, 2020 - Elsevier
In this work, we introduce a numerical and analytical study of the Peyrard-Bishop DNA
dynamic model equation. This model is studied analytically by hyperbolic and exponential …

Analytical and numerical study of the HIV‐1 infection of CD4+ T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome …

KK Ali, MS Osman, HM Baskonus… - … Methods in the …, 2023 - Wiley Online Library
In this paper, we introduce a numerical and analytical study of the HIV‐1 infection of CD4+ T‐
cells conformable fractional mathematical model. This model is studied analytically by …

[HTML][HTML] A variety of soliton solutions for the fractional Wazwaz-Benjamin-Bona-Mahony equations

AR Seadawy, KK Ali, RI Nuruddeen - Results in Physics, 2019 - Elsevier
In the present paper, the new three-dimensional modified Benjamin-Bona-Mahony
equations recently introduced are analyzed with the introduction of the spatial and temporal …

[PDF][PDF] Numerical study of MHD-duct flow using the two-dimensional finite difference method

KR Raslan, KK Ali - Appl. Math. Inf. Sci, 2020 - digitalcommons.aaru.edu.jo
This article presents a two-dimensional finite difference method (FDM) to solve the model of
magnetohydrodynamics (MHD) duct flow of an incompressible fluid in a rectangular duct …

A study on the solutions of (1+ 1)-dimensional Mikhailov-Novikov-Wang equation

ŞT Demiray, U Bayrakcı - Mathematical Modelling and Numerical …, 2022 - dergipark.org.tr
The basic principle of this study is to obtain various solutions to the (1+ 1) dimensional
Mikhailov-Novikov-Wang integrable equation (MNWIE). For this purpose, the generalized …

Bright, periodic, compacton and bell-shape soliton solutions of the extended QZK and (3+ 1)-dimensional ZK equations

MA Akbar, MA Kayum, MS Osman - … in Theoretical Physics, 2021 - iopscience.iop.org
Abstract The (3+ 1)-dimensional Zakharov–Kuznetsov (ZK) and the new extended quantum
ZK equations are functional to decipher the dense quantum plasma, ion-acoustic waves …

Generalized optical soliton solutions to the (3+ 1)-dimensional resonant nonlinear Schrödinger equation with Kerr and parabolic law nonlinearities

AKH Sedeeg, RI Nuruddeen… - Optical and Quantum …, 2019 - Springer
The resonant nonlinear Schrödinger equation in three dimensions featuring both the Kerr
and parabolic law nonlinearities has been considered in this paper due to its vital role in the …

A novel approach for numerical treatment of traveling wave solution of ion acoustic waves as a fractional nonlinear evolution equation on Shehu transform …

SR Jena, I Sahu - Physica Scripta, 2023 - iopscience.iop.org
In this paper, we develop and employ an efficient numerical technique for traveling wave
solution of the Time Fractional Zakharov-Kuznetsov (TFZK) equation, also known as the …

Analytical view of nonlinear delay differential equations using Sawi iterative scheme

M Nadeem, SA Edalatpanah, I Mahariq, WHF Aly - Symmetry, 2022 - mdpi.com
This paper presents the idea of the Sawi iterative scheme (SIS) to derive the analytical
solution of nonlinear delay differential equations (DDEqs). We apply the Sawi transform to …