Study on date–Jimbo–Kashiwara–Miwa equation with conformable derivative dependent on time parameter to find the exact dynamic wave solutions

MA Iqbal, Y Wang, MM Miah, MS Osman - Fractal and Fractional, 2021 - mdpi.com
In this article, we construct the exact dynamical wave solutions to the Date–Jimbo–
Kashiwara–Miwa equation with conformable derivative by using an efficient and well …

[HTML][HTML] A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations

A Burqan, A El-Ajou, R Saadeh, M Al-Smadi - Alexandria Engineering …, 2022 - Elsevier
In this article, we introduce a new technique to create a series solution to the time-fractional
Navier-Stokes equations is using a combination of the Laplace Transform with the residual …

[HTML][HTML] Nonlinear pulse propagation for novel optical solitons modeled by Fokas system in monomode optical fibers

S Tarla, KK Ali, TC Sun, R Yilmazer, MS Osman - Results in Physics, 2022 - Elsevier
In this study, the Fokas system which represents the spread of irregular pulse in monomode
optical fibers is investigated via the Jacobi elliptic function expansion (JEFE) method. This …

An approximate analytical view of physical and biological models in the setting of Caputo operator via Elzaki transform decomposition method

S Rashid, KT Kubra, S Sultana, P Agarwal… - … of Computational and …, 2022 - Elsevier
This article offers a well-organized and novel algorithm for solving time-fractional Fornberg–
Whitham, Klein–Gordon equation and biological population models occurring from physics …

[HTML][HTML] Solitary waves pattern appear in tropical tropospheres and mid-latitudes of nonlinear Landau–Ginzburg–Higgs equation with chaotic analysis

NT Alqurashi, M Manzoor, SZ Majid, MI Asjad… - Results in Physics, 2023 - Elsevier
The objective of this research is to investigate the nonlinear Landau–Ginzburg–Higgs
equation, which characterizes nonlinear solitary waves exhibiting distant and feeble …

The dynamic behaviors of the Radhakrishnan–Kundu–Lakshmanan equation by Jacobi elliptic function expansion technique

S Tarla, KK Ali, R Yilmazer, MS Osman - Optical and Quantum Electronics, 2022 - Springer
In this study, we express the Radhakrishnan–Kundu–Lakshmanan equation with an
arbitrary index of n∈ Q. We investigated the solitary wave solutions of the Radhakrishnan …

A fractional modeling of tumor–immune system interaction related to lung cancer with real data

F Özköse, S Yılmaz, M Yavuz, İ Öztürk… - The European Physical …, 2022 - Springer
In this study, we investigate a new fractional-order mathematical model which considers
population dynamics among tumor cells-macrophage cells-active macrophage cells, and …

[HTML][HTML] Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome

MMA Khater, AES Ahmed, MA El-Shorbagy - Results in Physics, 2021 - Elsevier
The computational solutions for the fractional mathematical system form of the HIV-1
infection of CD4+ T-cells are investigated by employing three recent analytical schemes …

Further advanced investigation of the complex Hirota-dynamical model to extract soliton solutions

MM Rasid, MM Miah, AH Ganie, HM Alshehri… - … Physics Letters B, 2024 - World Scientific
The complex Hirota-dynamical model (CHDM) has applications in the study of plasma
physics, the investigation of fusion energy, astrophysical research, and space studies. The …

On dynamical behavior for optical solitons sustained by the perturbed Chen–Lee–Liu model

S Tarla, KK Ali, R Yilmazer… - … in Theoretical Physics, 2022 - iopscience.iop.org
This study investigates the perturbed Chen–Lee–Liu model that represents the propagation
of an optical pulse in plasma and optical fiber. The generalized exponential rational function …