A hybrid analytical and numerical analysis of ultra-short pulse phase shifts

MMA Khater - Chaos, Solitons & Fractals, 2023 - Elsevier
This study uses a simplified third-order generalized nonlinear Schrödinger equation (3-order
GNLSE) to investigate the soliton phase shift. Most of the time, this model is used to explain …

Soliton solutions of fractional extended nonlinear Schrödinger equation arising in plasma physics and nonlinear optical fiber

J Ahmad, S Akram, K Noor, M Nadeem, A Bucur… - Scientific Reports, 2023 - nature.com
In this research, we study traveling wave solutions to the fractional extended nonlinear
SchrÖdinger equation (NLSE), and the effects of the third-order dispersion parameter. This …

New solitary wave solutions for variants of (3+ 1)-dimensional Wazwaz-Benjamin-Bona-Mahony equations

H Rezazadeh, M Inc, D Baleanu - Frontiers in Physics, 2020 - frontiersin.org
We solve distinct forms of (3+ 1)-Dimensional Wazwaz-Benjamin-Bona-Mahony [(3+ 1)-
Dimensional WBBM] equations by employing the method of Sardar-subequation. When …

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 …

Abundant breather and semi-analytical investigation: On high-frequency waves' dynamics in the relaxation medium

MMA Khater - Modern Physics Letters B, 2021 - World Scientific
This paper investigates the high-frequency waves' dynamical behavior in the relaxation
medium through two recent analytical schemes. This study depends on the Vakhnenko …

A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative

MS Hashemi - Chaos, Solitons & Fractals, 2021 - Elsevier
This work is devoted to the time fractional differential equations (TFDEs) with the Atangana-
Baleanu-Riemann (ABR) fractional derivative and their analytical solutions. We generalize …

Analytical versus numerical solutions of the nonlinear fractional time–space telegraph equation

MMA Khater, D Lu - Modern Physics Letters B, 2021 - World Scientific
In this paper, the stable analytical solutions' accuracy of the nonlinear fractional nonlinear
time–space telegraph (FNLTST) equation is investigated along with applying the …

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 …

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 …