Prorogation of waves in shallow water through unidirectional Dullin–Gottwald–Holm model; computational simulations
MMA Khater - International Journal of Modern Physics B, 2023 - World Scientific
This paper investigates novel solitary wave solutions of the unidirectional Dullin–Gottwald–
Holm model and employs the modified Khater (MKhat) method for studying the dynamical …
Holm model and employs the modified Khater (MKhat) method for studying the dynamical …
[HTML][HTML] Ultra-short pulses generation's precise influence on the light transmission in optical fibers
D Zhao, D Lu, MMA Khater - Results in Physics, 2022 - Elsevier
In this study, the numerical simulation of the fractional nonlinear third-order Schrödinger (3-
FNLS) problem is processed by applying the novel homotopy perturbation (NHP) method …
FNLS) problem is processed by applying the novel homotopy perturbation (NHP) method …
On Analytical Solution of Time‐Fractional Biological Population Model by means of Generalized Integral Transform with Their Uniqueness and Convergence Analysis
This research utilizes the generalized integral transform and the Adomian decomposition
method to derive a fascinating explicit pattern for outcomes of the biological population …
method to derive a fascinating explicit pattern for outcomes of the biological population …
[HTML][HTML] Optical wave solutions of perturbed time-fractional nonlinear Schrödinger equation
F Wang, SA Salama, MMA Khater - Journal of Ocean Engineering and …, 2022 - Elsevier
The conformable fractional derivatives modified Khater (mKhat.) technique and the Adomian
decomposition (AD) method is used to examine the perturbed time-fractional nonlinear …
decomposition (AD) method is used to examine the perturbed time-fractional nonlinear …
Novel numerical investigations of fuzzy Cauchy reaction–diffusion models via generalized fuzzy fractional derivative operators
The present research correlates with a fuzzy hybrid approach merged with a homotopy
perturbation transform method known as the fuzzy Shehu homotopy perturbation transform …
perturbation transform method known as the fuzzy Shehu homotopy perturbation transform …
[HTML][HTML] Unidirectional shallow water wave model; computational simulations
MMA Khater, T Botmart - Results in Physics, 2022 - Elsevier
This article delves into new solitary wave solutions for the unidirectional Dullin–Gottwald–
Holm (DGH) model. Dynamical characterizations of wave prorogation in shallow water are …
Holm (DGH) model. Dynamical characterizations of wave prorogation in shallow water are …
A Highly Accurate Technique to Obtain Exact Solutions to Time‐Fractional Quantum Mechanics Problems with Zero and Nonzero Trapping Potential
In this study, the highly accurate analytical Aboodh transform decomposition method (ATDM)
in the sense of Caputo fractional derivative is used to determine the approximate and exact …
in the sense of Caputo fractional derivative is used to determine the approximate and exact …
Study of concentration arising in longitudinal dispersion phenomenon by Aboodh transform homotopy perturbation method
HP Jani, TR Singh - International Journal of Applied and Computational …, 2022 - Springer
This paper applies the Aboodh transform homotopy perturbation method (ATHPM) to solve a
partial differential equation. Aboodh transform is used to solve linear differential equations …
partial differential equation. Aboodh transform is used to solve linear differential equations …
[HTML][HTML] New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography
This paper presents a study of nonlinear waves in shallow water. The Korteweg-de Vries
(KdV) equation has a canonical version based on oceanography theory, the shallow water …
(KdV) equation has a canonical version based on oceanography theory, the shallow water …
Strong interaction of Jafari decomposition method with nonlinear fractional-order partial differential equations arising in plasma via the singular and nonsingular …
This research utilizes the Jafari transform and the Adomian decomposition method to derive
a fascinating explicit pattern for the outcomes of the KdV, mKdV, K (2, 2) and K (3, 3) models …
a fascinating explicit pattern for the outcomes of the KdV, mKdV, K (2, 2) and K (3, 3) models …