Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative

B Ghanbari - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
The paper aims to employ a new effective methodology to build exact fractional solutions to
the generalized nonlinear Schrödinger equation with a local fractional operator defined on …

On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique

B Ghanbari - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
One of the most interesting branches of fractional calculus is the local fractional calculus,
which has been used successfully to describe many fractal problems in science and …

On the solitary wave solutions and physical characterization of gas diffusion in a homogeneous medium via some efficient techniques

M Khater, B Ghanbari - The European Physical Journal Plus, 2021 - Springer
This paper aims to determine some novel solitary wave solutions of the Chaffee–Infante
equation, which have not yet been presented for this equation. This equation arises in …

[HTML][HTML] Analytical and semi-analytical solutions for Phi-four equation through three recent schemes

MMA Khater, AA Mousa, MA El-Shorbagy, RAM Attia - Results in Physics, 2021 - Elsevier
This manuscript investigates the analytical and semi-analytical solutions of nonlinear phi-
four (PF) equation by applying the sech–tanh expansion method, modified Ψ′ Ψ-expansion …

Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma

XX Du, B Tian, QX Qu, YQ Yuan, XH Zhao - Chaos, Solitons & Fractals, 2020 - Elsevier
Electron-positron-ion plasmas are found in the primordial Universe, active galactic nuclei,
surroundings of black holes and peripheries of neutron stars. We focus our attention on a …

[HTML][HTML] New solitary wave solutions and stability analysis for the generalized (3+ 1)-dimensional nonlinear wave equation in liquid with gas bubbles

YH Zhao, T Mathanaranjan, H Rezazadeh, L Akinyemi… - Results in Physics, 2022 - Elsevier
In this study, solitary wave solutions for the generalized (3+ 1)-dimensional nonlinear wave
equation (NLWE) are extracted using a new generalized exponential rational function …

[HTML][HTML] Abundant optical soliton solutions for an integrable (2+ 1)-dimensional nonlinear conformable Schrödinger system

L Akinyemi, M Şenol, H Rezazadeh, H Ahmad… - Results in Physics, 2021 - Elsevier
The analytical solutions of the integrable generalized (2+ 1)-dimensional nonlinear
conformable Schrödinger (NLCS) system of equations was explored in this paper with the …

Exact traveling wave solutions for resonance nonlinear Schrödinger equation with intermodal dispersions and the Kerr law nonlinearity

H M. Srivastava, H Günerhan… - … Methods in the Applied …, 2019 - Wiley Online Library
The main aim of this article is to present some new exact solutions of the resonant nonlinear
Schrödinger equation. These solutions are derived by using the generated exponential …

Transmission dynamics of fractional order Typhoid fever model using Caputo–Fabrizio operator

AS Shaikh, KS Nisar - Chaos, Solitons & Fractals, 2019 - Elsevier
In this manuscript, we develop existence, uniqueness and stability criteria for fractional order
Typhoid fever model having Caputo–Fabrizio operator by using fixed point theory. This …

Jacobi elliptic function expansion method for solving KdV equation with conformable derivative and dual-power law nonlinearity

VS Kumar, H Rezazadeh, M Eslami, F Izadi… - International Journal of …, 2019 - Springer
In this work, the KdV equation with conformable derivative and dual-power law nonlinearity
is considered. It is exceedingly used as a model to depict the feeble nonlinear long waves in …