Abundant solitary wave solutions to an extended nonlinear Schrödinger's equation with conformable derivative using an efficient integration method

B Ghanbari, KS Nisar, M Aldhaifallah - Advances in Difference Equations, 2020 - Springer
The prevalence of the use of mathematical software has dramatically influenced the
evolution of differential equations. The use of these useful tools leads to faster advances in …

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 …

Investigation of different wave structures to the generalized third-order nonlinear Scrödinger equation

K Hosseini, MS Osman, M Mirzazadeh, F Rabiei - Optik, 2020 - Elsevier
The present paper explores the generalized third-order nonlinear Schrödinger (GTONLS)
equation which is used to model ultra-short pulses in optical fibers. The analysis is carried …

Optical soliton solutions to the generalized nonautonomous nonlinear Schrödinger equations in optical fibers via the sine-Gordon expansion method

KK Ali, AM Wazwaz, MS Osman - Optik, 2020 - Elsevier
This article presents soliton solutions to the generalized nonautonomous nonlinear
Schrödinger equations (with time-dependent coefficients) via the sine-Gordon expansion …

Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense

M Al-Smadi, OA Arqub, S Momani - Physica Scripta, 2020 - iopscience.iop.org
Mathematical modeling of fractional resonant Schrödinger equations is an extremely
significant topic in the classical of quantum mechanics, chromodynamics, astronomy, and …

Generalized exponential rational function method for extended Zakharov–Kuzetsov equation with conformable derivative

B Ghanbari, MS Osman, D Baleanu - Modern Physics Letters A, 2019 - World Scientific
In this paper, new analytical obliquely propagating wave solutions for the time fractional
extended Zakharov–Kuzetsov (FEZK) equation of conformable derivative are investigated …

An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative

M Al-Smadi, OA Arqub, S Hadid - Communications in Theoretical …, 2020 - iopscience.iop.org
Mathematical simulation of nonlinear physical and abstract systems is a very vital process
for predicting the solution behavior of fractional partial differential equations (FPDEs) …

Investigation of soliton solutions with different wave structures to the (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation

MS Osman, KU Tariq, A Bekir, A Elmoasry… - Communications in …, 2020 - iopscience.iop.org
The principal objective of this article is to construct new and further exact soliton solutions of
the (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation which investigates …

Diverse optical solitons to the complex Ginzburg–Landau equation with Kerr law nonlinearity in the nonlinear optical fiber

KJ Wang, J Si - The European Physical Journal Plus, 2023 - Springer
This work considers the complex Ginzburg–Landau equation with Kerr law nonlinearity,
which is used widely to model soliton propagation in the presence of detuning factor …

[HTML][HTML] New optical solitary wave solutions of Fokas-Lenells equation in optical fiber via Sine-Gordon expansion method

KK Ali, MS Osman, M Abdel-Aty - Alexandria Engineering Journal, 2020 - Elsevier
This article presents soliton solutions to a generalized nonlinear Fokas-Lenells equation via
the Sine-Gordon expansion method. To uncover the clear picture of the gained solutions, the …