New solitary wave solutions for variants of (3+ 1)-dimensional Wazwaz-Benjamin-Bona-Mahony equations

H Rezazadeh, M Inc, D Baleanu - Frontiers in Physics, 2020 - frontiersin.org
We solve distinct forms of (3+ 1)-Dimensional Wazwaz-Benjamin-Bona-Mahony [(3+ 1)-
Dimensional WBBM] equations by employing the method of Sardar-subequation. When …

Piecewise optimal fractional reproducing kernel solution and convergence analysis for the Atangana–Baleanu–Caputo model of the Lienard's equation

S Momani, O Abu Arqub, B Maayah - Fractals, 2020 - World Scientific
In this paper, an attractive reliable analytical technique is implemented for constructing
numerical solutions for the fractional Lienard's model enclosed with suitable …

The reproducing kernel algorithm for numerical solution of Van der Pol damping model in view of the Atangana–Baleanu fractional approach

S Momani, B Maayah, OABU Arqub - Fractals, 2020 - World Scientific
The aim of this paper is to propose the Atangana–Baleanu fractional methodology for
fathoming the Van der Pol damping model by using the reproducing kernel algorithm. To this …

The study of solitary wave solutions to the time conformable Schrödinger system by a powerful computational technique

SU Rehman, M Bilal, J Ahmad - Optical and Quantum Electronics, 2022 - Springer
In this manuscript, we secure solitary wave solutions of the generalized (2+ 1)-dimensional
nonlinear conformable Schrödinger (NLCS) system by employing a powerful computational …

A fractional order approach to modeling and simulations of the novel COVID-19

I Owusu-Mensah, L Akinyemi, B Oduro… - Advances in difference …, 2020 - Springer
The novel coronavirus (SARS-CoV-2), or COVID-19, has emerged and spread at fast speed
globally; the disease has become an unprecedented threat to public health worldwide. It is …

An adaptive numerical approach for the solutions of fractional advection–diffusion and dispersion equations in singular case under Riesz's derivative operator

OA Arqub, M Al-Smadi - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
The fractional diffusion and dispersion equations are reinterpreted in determining the effect
of fluid flow and displacement processes through certain compressible phenomena and …

[HTML][HTML] A variety of exact optical soliton solutions to the generalized (2+ 1)-dimensional dynamical conformable fractional Schrödinger model

M Bilal, J Ahmad - Results in Physics, 2022 - Elsevier
In this work, our main idea is to retrieve a variety of exact optical solitons of the generalized
(2+ 1)-dimensional nonlinear conformable fractional Schrödinger system by employing three …

Approximate and generalized solutions of conformable type Coudrey–Dodd–Gibbon–Sawada–Kotera equation

M Senol, L Akinyemi, A Ata, OS Iyiola - International Journal of …, 2021 - World Scientific
In this study, we consider conformable type Coudrey–Dodd–Gibbon–Sawada–Kotera
(CDGSK) equation. Three powerful analytical methods are employed to obtain generalized …

Wave behaviors of Kundu–Mukherjee–Naskar model arising in optical fiber communication systems with complex structure

H Rezazadeh, A Kurt, A Tozar, O Tasbozan… - Optical and Quantum …, 2021 - Springer
Rogue waves are very mysterious and extra ordinary waves. They appear suddenly even in
a calm sea and are hard to be predicted. Although nonlinear Schrödinger equation provides …

Solitary waves propagation analysis in nonlinear dynamical system of fractional coupled Boussinesq-Whitham-Broer-Kaup equation

MM Al-Sawalha, S Mukhtar, R Shah, AH Ganie… - Fractal and …, 2023 - mdpi.com
The primary goal of this study is to create and characterise solitary wave solutions for the
conformable Fractional Coupled Boussinesq-Whitham-Broer-Kaup Equations (FCBWBKEs) …