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 …
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
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 …
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
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 …
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 …
(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 …
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 …
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 …
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 …
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 …
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 …
methods are employed to find the soliton, breather, kink, periodic kink, and lump wave …