Optical solitons of nonlinear complex Ginzburg–Landau equation via two modified expansion schemes

A Zafar, M Shakeel, A Ali, L Akinyemi… - Optical and Quantum …, 2022 - Springer
This article examines the complex Ginzburg–Landau equation with the beta time derivative
and analyze its optical solitons and other solutions in the appearance of a detuning factor in …

[HTML][HTML] Optical solitons with an extended (3+ 1)-dimensional nonlinear conformable Schrödinger equation including cubic–quintic nonlinearity

M Mirzazadeh, A Sharif, MS Hashemi, A Akgül… - Results in Physics, 2023 - Elsevier
In this paper, we study the extended (3+ 1)-dimensional nonlinear conformable Schrödinger
equation with cubic–quintic nonlinearity. We use three different methods to obtain exact …

Bifurcation and traveling wave solution to fractional Biswas-Arshed equation with the beta time derivative

Z Li - Chaos, Solitons & Fractals, 2022 - Elsevier
The main purpose of this paper is to study the dynamical behavior, optical soliton solution
and traveling wave solution for the fractional Biswas-Arshed equation with the beta time …

Interaction properties of soliton molecules and Painleve analysis for nano bioelectronics transmission model

N Farah, AR Seadawy, S Ahmad, STR Rizvi… - Optical and Quantum …, 2020 - Springer
Microtubules (MTs) are series of protein and protofilaments. These are very important in cell
divisioning, designing and nonlinear phenomena in the field of engineering and science. In …

New optical solitons of nonlinear conformable fractional Schrödinger-Hirota equation

H Rezazadeh, SM Mirhosseini-Alizamini, M Eslami… - Optik, 2018 - Elsevier
In this article, an amelioration of the approaches namely the new extended direct algebraic
method for solving the nonlinear conformable fractional Schrödinger-Hirota equation (FSHE) …

The unified method for conformable time fractional Schro¨ dinger equation with perturbation terms

MS Osman, A Korkmaz, H Rezazadeh… - Chinese Journal of …, 2018 - Elsevier
The present study implements the unified method to the conformable time fractional non
linear Schr o¨ dinger equation with perturbation terms. Reduction of the governing equation …

Soliton solutions of the Sasa–Satsuma equation in the monomode optical fibers including the beta-derivatives

K Hosseini, M Mirzazadeh, JF Gómez-Aguilar - Optik, 2020 - Elsevier
The main goal of the present paper is to steer an investigation on the dynamics of soliton
solutions of a nonlinear model in the monomode optical fibers. In this respect, first, soliton …

[HTML][HTML] Auxiliary equation method for time-fractional differential equations with conformable derivative

A Akbulut, M Kaplan - Computers & Mathematics with Applications, 2018 - Elsevier
In this paper, the auxiliary equation method is applied to obtain analytical solutions of (2+ 1)-
dimensional time-fractional Zoomeron equation and the time-fractional third order modified …

Biswas–Arshed equation with the beta time derivative: optical solitons and other solutions

K Hosseini, M Mirzazadeh, M Ilie, JF Gómez-Aguilar - Optik, 2020 - Elsevier
This paper considers the Biswas–Arshed equation (BAE) with the beta time derivative and
investigates its optical solitons and other solutions in the presence of high order dispersions …

Unraveling the dynamic complexity: exploring the (3+ 1)-dimensional conformable mKdV-ZK equation

X Ding, SM Boulaaras, HU Rehman, I Iqbal… - Optical and Quantum …, 2024 - Springer
The primary objective of this article is to construct novel solitary wave solutions for the
nonlinear (3+ 1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation …