Nonlinear biological population model; computational and numerical investigations

MMA Khater - Chaos, Solitons & Fractals, 2022 - Elsevier
This research paper provides precise solutions for nonlinear fractional population biology
(FBP) models by implementing the generalized Khater (GK) technique and utilizing …

De Broglie waves and nuclear element interaction; Abundant waves structures of the nonlinear fractional Phi-four equation

MMA Khater - Chaos, Solitons & Fractals, 2022 - Elsevier
This research study investigates the computational wave solutions of the nonlinear fractional
Phi-four (NLFPF) equation. The NLFPF model describes the nuclear element interaction and …

Abundant and accurate computational wave structures of the nonlinear fractional biological population model

MMA Khater - International Journal of Modern Physics B, 2023 - World Scientific
In this paper, the generalized exponential (GExp) method has been employed to construct
novel solitary wave solutions of the nonlinear fractional biological population (FBP) model …

[HTML][HTML] Some optical soliton solutions to the perturbed nonlinear Schrödinger equation by modified Khater method

M Khater, S Anwar, KU Tariq, MS Mohamed - AIP Advances, 2021 - pubs.aip.org
This paper investigates the analytical solutions of the perturbed nonlinear Schrödinger
equation through the modified Khater method. This method is considered one of the most …

[HTML][HTML] Analytical and semi-analytical solutions for Phi-four equation through three recent schemes

MMA Khater, AA Mousa, MA El-Shorbagy, RAM Attia - Results in Physics, 2021 - Elsevier
This manuscript investigates the analytical and semi-analytical solutions of nonlinear phi-
four (PF) equation by applying the sech–tanh expansion method, modified Ψ′ Ψ-expansion …

Diverse solitary and Jacobian solutions in a continually laminated fluid with respect to shear flows through the Ostrovsky equation

MMA Khater - Modern Physics Letters B, 2021 - World Scientific
In this paper, the generalized Jacobi elliptical functional (JEF) and modified Khater (MK)
methods are employed to find the soliton, breather, kink, periodic kink, and lump wave …

[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 …

[HTML][HTML] Hirota D-operator forms, multiple soliton waves, and other nonlinear patterns of a 2D generalized kadomtsev–petviashvili equation

T Umar, K Hosseini, B Kaymakamzade… - Alexandria Engineering …, 2024 - Elsevier
In the present paper, extensive research is conducted on a 2D generalized Kadomtsev–
Petviashvili (2D-gKP) equation which models water waves with long wavelengths. The study …

[HTML][HTML] Analyzing numerous travelling wave behavior to the fractional-order nonlinear Phi-4 and Allen-Cahn equations throughout a novel technique

UHM Zaman, MA Arefin, MA Akbar, MH Uddin - Results in Physics, 2022 - Elsevier
Nonlinear fractional partial differential equations (NLFPDEs) are well suited for describing a
broad range of factors in engineering and science, including plasma physics, optical fiber …

[HTML][HTML] Diverse accurate computational solutions of the nonlinear Klein–Fock–Gordon equation

MMA Khater, MS Mohamed, SK Elagan - Results in Physics, 2021 - Elsevier
This manuscript handles the nonlinear Klein–Fock–Gordon (KFG) equation by applying two
recent computational schemes (generalized exponential function (GEF) and generalized …