Pioneering the plethora of soliton for the (3+ 1)-dimensional fractional heisenberg ferromagnetic spin chain equation

I Ullah, K Shah, T Abdeljawad, S Barak - Physica Scripta, 2024 - iopscience.iop.org
In this scholarly article, we investigate the complex structured (3+ 1)-dimensional Fractional
Heisenberg Ferromagnetic Spin Chain equation (FHFSCE) with conformable fractional …

Noise effect on soliton phenomena in fractional stochastic Kraenkel-Manna-Merle system arising in ferromagnetic materials

H Yasmin, AS Alshehry, AH Ganie, A Shafee… - Scientific Reports, 2024 - nature.com
This work dives into the Conformable Stochastic Kraenkel-Manna-Merle System (CSKMMS),
an important mathematical model for exploring phenomena in ferromagnetic materials. A …

Dynamics behaviours of N-kink solitons in conformable Fisher–Kolmogorov–Petrovskii–Piskunov equation

I Ullah - Engineering Computations, 2024 - emerald.com
Purpose This manuscript is related to compute N-kink soliton solutions for conformable
Fisher–Kolmogorov equation (CFKE) by using the generalized extended direct algebraic …

[HTML][HTML] Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method

M Bilal, J Iqbal, K Shah, B Abdalla… - … Differential Equations in …, 2024 - Elsevier
The study of soliton solutions for Nonlinear Fractional Partial Differential Equations
(NFPDEs) has gained prominence recently because of its ability to realistically recreate …

Unraveling the Dynamics of Singular Stochastic Solitons in Stochastic Fractional Kuramoto–Sivashinsky Equation

MM Al-Sawalha, H Yasmin, R Shah, AH Ganie… - Fractal and …, 2023 - mdpi.com
This work investigates the complex dynamics of the stochastic fractional Kuramoto–
Sivashinsky equation (SFKSE) with conformable fractional derivatives. The research begins …

Extension of the optimal auxiliary function method to solve the system of a fractional-order Whitham–Broer–Kaup equation

Z Alsheekhhussain, K Moaddy, R Shah… - Fractal and …, 2023 - mdpi.com
In this paper, we introduce and implement the optimal auxiliary function method to solve a
system of fractional-order Whitham–Broer–Kaup equations, a class of nonlinear partial …

Exploring Propagating Soliton Solutions for the Fractional Kudryashov–Sinelshchikov Equation in a Mixture of Liquid–Gas Bubbles under the Consideration of Heat …

R Ali, AS Hendy, MR Ali, AM Hassan, FA Awwad… - Fractal and …, 2023 - mdpi.com
In this research work, we investigate the complex structure of soliton in the Fractional
Kudryashov–Sinelshchikov Equation (FKSE) using conformable fractional derivatives. Our …

Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operator

H Yasmin, AA Alderremy, R Shah, A Hamid Ganie… - Frontiers in …, 2024 - frontiersin.org
In this study, we employ the effective iterative method to address the fractional Wu-Zhang
Equation within the framework of the Caputo Derivative. The effective iterative method offers …

Solitons to the time-fractional Radhakrishnan–Kundu–Lakshmanan equation with and M-truncated fractional derivatives: a comparative analysis

AM Elsherbeny, A Bekir, AH Arnous, M Sadaf… - Optical and Quantum …, 2023 - Springer
In this study, the dynamics of perturbed fractional Radhakrishnan–Kundu–Lakshman (RKL)
equation is investigated taking the fractional derivatives as β and M-truncated derivatives …

Exploring families of solitary wave solutions for the fractional coupled Higgs system using modified extended direct algebraic method

M Bilal, J Iqbal, R Ali, FA Awwad, EA A. Ismail - Fractal and Fractional, 2023 - mdpi.com
In this paper, we suggest the modified Extended Direct Algebraic Method (mEDAM) to
examine the existence and dynamics of solitary wave solutions in the context of the …