[HTML][HTML] New computational results for a prototype of an excitable system

H Ahmad, MN Alam, M Omri - Results in Physics, 2021 - Elsevier
This present paper uses a well known computational scheme such as the modified (G'/G)-
expansion method to the nonlinear predator–prey (NPP) system for forming new …

Characteristics of dynamic waves in incompressible fluid regarding nonlinear Boiti-Leon-Manna-Pempinelli model

MT Islam, TR Sarkar, FA Abdullah… - Physica …, 2023 - iopscience.iop.org
Distinct models involving nonlinearity are mostly appreciated for illustrating intricate
phenomena arise in the nature. The new (3+ 1)-dimensional generalized nonlinear Boiti …

New solitary wave solutions of generalized fractional Tzitzéica-type evolution equations using Sardar sub-equation method

D Chou, H Ur Rehman, A Amer, A Amer - Optical and Quantum Electronics, 2023 - Springer
In this study, Sardar sub-equation method is employed to obtain the solitary wave solutions
for generalized fractional Tzitzéica type equations. By utilizing this method, novel solutions …

[HTML][HTML] Novel analytical solutions of stochastic Ginzburg-Landau equation driven by Wiener process via the improved modified extended tanh function method

Y Alhojilan, HM Ahmed - Alexandria Engineering Journal, 2023 - Elsevier
In this manuscript, the improved modified extended tanh integration technique is
implemented to investigate the exact solutions of stochastic Ginzburg–Landau model driven …

[HTML][HTML] Solitary wave solutions and other solutions for Gilson–Pickering equation by using the modified extended map** method

I Samir, N Badra, HM Ahmed, AH Arnous, AS Ghanem - Results in Physics, 2022 - Elsevier
In this paper, the modified extended map** method is applied to obtain solitary wave
solutions and other solutions for the Gilson–Pickering equation which describes the wave …

[HTML][HTML] Novel exact and solitary solutions of conformable Klein–Gordon equation via Sardar-subequation method

R Hussain, A Imtiaz, T Rasool, H Rezazadeh… - Journal of Ocean …, 2022 - Elsevier
In this study, the conformable Klein–Gordon equation (KGE) has been investigated. The
conformable nonlinear mathematical model has been converted into ordinary differential …

[HTML][HTML] New soliton configurations for two different models related to the nonlinear Schrödinger equation through a graded-index waveguide

H Almusawa, N Alam, M Fayz-Al-Asad, MS Osman - AIP Advances, 2021 - pubs.aip.org
The present paper studies two various models with two different types: the nonlinear
Schrödinger equation with power-law nonlinearity and the (3+ 1)-dimensional nonlinear …

Novel precise solitary wave solutions of two time fractional nonlinear evolution models via the MSE scheme

Z Rahman, A Abdeljabbar, MZ Ali - Fractal and Fractional, 2022 - mdpi.com
We construct soliton solutions of the complex time fractional Schrodinger model (tFSM), as
well as the space–time fractional differential model (stFDM), leading wave spread through …

Closed form soliton solutions of three nonlinear fractional models through proposed improved Kudryashov method

Z Rahman, MZ Ali, HO Roshid - Chinese Physics B, 2021 - iopscience.iop.org
We introduce a new integral scheme namely improved Kudryashov method for solving any
nonlinear fractional differential model. Specifically, we apply the approach to the nonlinear …

Bifurcation, phase plane analysis and exact soliton solutions in the nonlinear Schrodinger equation with Atangana's conformable derivative

MN Alam, M Iqbal, M Hassan, M Fayz-Al-Asad… - Chaos, Solitons & …, 2024 - Elsevier
The nonlinear Schrodinger equation (NLSE) with Atangana's conformable fractional
derivative (ACFD) is an equation that describes how the quantum state of a physical system …