Numerical solution of traveling waves in chemical kinetics: time-fractional fishers equations

F Wang, MN Khan, I Ahmad, H Ahmad, H Abu-Zinadah… - Fractals, 2022 - World Scientific
This paper addresses the numerical solution of nonlinear time-fractional Fisher equations
via local meshless method combined with explicit difference scheme. This procedure uses …

New complex hyperbolic structures to the lonngren-wave equation by using sine-gordon expansion method

HM Baskonus, H Bulut, TA Sulaiman - Applied Mathematics and …, 2019 - sciendo.com
In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational
program is used in constructing a new hyperbolic function solutions to one of the popular …

Novel explicit solutions for the nonlinear Zoomeron equation by using newly extended direct algebraic technique

W Gao, H Rezazadeh, Z Pinar, HM Baskonus… - Optical and Quantum …, 2020 - Springer
This paper presents an analytical solver which is known as a generalization of types
methodologies. With the proposed method, one of the old but at the same time popular …

Instability modulation and novel optical soliton solutions to the Gerdjikov–Ivanov equation with M-fractional

HF Ismael, HM Baskonus, H Bulut, W Gao - Optical and Quantum …, 2023 - Springer
The modified exponential function method is used to obtain some new analytical solutions of
the nonlinear Gerdjikov–Ivanov equation with the M-fractional operator. The novel obtained …

[HTML][HTML] A fractional order numerical study for the influenza disease mathematical model

Z Sabir, SB Said, Q Al-Mdallal - Alexandria Engineering Journal, 2023 - Elsevier
The motive of these investigations is to present the numerical performances of the fractional
order mathematical influenza disease model (FO-MIDM) by designing the computational …

Novel technique MDDIM solutions of MHD flow and radiative Prandtl-Eyring fluid over a stretching sheet with convective heating

SR Munjam, K Gangadhar, R Seshadri… - International Journal of …, 2022 - Taylor & Francis
Aim of this paper was to appraise the magneto-hydrodynamic boundary layer flow of a
Prandtl-Eyring fluid model on the top of stretched sheet. Ancillary to the same, the evolution …

Instability modulation for the (2+ 1)-dimension paraxial wave equation and its new optical soliton solutions in Kerr media

W Gao, HF Ismael, H Bulut, HM Baskonus - Physica Scripta, 2020 - iopscience.iop.org
In this paper, we use the modified auxiliary expansion method to seek some new solutions
of the paraxial nonlinear Schrödinger equation. The solutions have a hyperbolic function …

Some mixed trigonometric complex soliton solutions to the perturbed nonlinear Schrödinger equation

W Gao, B Ghanbari, H Günerhan… - … Physics Letters B, 2020 - World Scientific
This work deals with finding new complex solitons to the perturbed nonlinear Schrödinger
model with the help of an analytical method. Using several computation programs, we gain …

Hybridization of the swarming and interior point algorithms to solve the Rabinovich–Fabrikant system

Z Sabir, SB Said, Q Al-Mdallal - Scientific reports, 2023 - nature.com
In this study, a trustworthy swarming computing procedure is demonstrated for solving the
nonlinear dynamics of the Rabinovich–Fabrikant system. The nonlinear system's dynamic …

[HTML][HTML] An advanced heuristic approach for a nonlinear mathematical based medical smoking model

T Saeed, Z Sabir, MS Alhodaly, HH Alsulami… - Results in Physics, 2022 - Elsevier
The present study is related to solve the nonlinear dynamics of a smoke model using
artificial neural networks (ANNs) under the optimization procedures of global heuristic and …