[HTML][HTML] Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov's method

H Rezazadeh, N Ullah, L Akinyemi, A Shah… - Results in Physics, 2021 - Elsevier
In this work, we study the optical soliton solutions of the generalized non-autonomous
nonlinear Schrödinger equation (NLSE) by means of the new Kudryashov's method (NKM) …

Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater

I Ahmad, I Ali, R Jan, SA Idris, M Mousa - Plos one, 2023 - journals.plos.org
The study presents a meshless computational approach for simulating the three-
dimensional multi-term time-fractional mobile-immobile diffusion equation in the Caputo …

[HTML][HTML] Fractal soliton solutions for the fractal-fractional shallow water wave equation arising in ocean engineering

KL Wang, CF Wei - Alexandria Engineering Journal, 2023 - Elsevier
The generalized shallow water wave equation is an important mathematical model that is
used to elaborate ocean engineering, weather simulations, tsunami prediction and tidal …

[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 …

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 …

Second-grade fluid with Newtonian heating under Caputo fractional derivative: analytical investigations via Laplace transforms

N Sene - Mathematical Modelling and Numerical Simulation with …, 2022 - dergipark.org.tr
In this paper, we consider the constructive equations of the fractional second-grade fluid.
The considered fluid model is described by the Caputo derivative. The problem consists to …

[HTML][HTML] The exact solutions of the stochastic Ginzburg–Landau equation

WW Mohammed, H Ahmad, AE Hamza, ES Aly… - Results in Physics, 2021 - Elsevier
The main goal of this paper is to obtain the exact solutions of the stochastic real-valued
Ginzburg–Landau equation, which is forced by multiplicative noise in the Itô sense. It is …

Diverse optical soliton solutions of the fractional coupled (2+ 1)-dimensional nonlinear Schrödinger equations

MT Islam, MA Akbar, H Ahmad - Optical and Quantum Electronics, 2022 - Springer
Fractional nonlinear models involving the underlying mechanisms of numerous complicated
physical phenomena arising in nature of real world have been taken major place of research …

Dynamics of multiple slip boundaries effect on MHD Casson-Williamson double-diffusive nanofluid flow past an inclined magnetic stretching sheet

PP Humane, VS Patil, AB Patil… - Proceedings of the …, 2022 - journals.sagepub.com
The present research paper highlights the effect of multiple slips and inclined magnetic
fields on chemically reacting Casson-Williamson with Buongiorno modeled nanofluid flow …

[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 …