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 …

Diverse optical solitons to nonlinear perturbed Schrödinger equation with quadratic-cubic nonlinearity via two efficient approaches

SU Rehman, J Ahmad - Physica Scripta, 2023 - iopscience.iop.org
In this study, the nonlinear perturbed Schrödinger equation (NPSE) with nonlinear terms as
quadratic-cubic law nonlinearity media with the beta derivative is investigated and this …

Bifurcation, phase plane analysis and exact soliton solutions in the nonlinear Schrodinger equation with Atangana's conformable derivative

MN Alam, M Iqbal, M Hassan, M Fayz-Al-Asad… - Chaos, Solitons & …, 2024 - Elsevier
The nonlinear Schrodinger equation (NLSE) with Atangana's conformable fractional
derivative (ACFD) is an equation that describes how the quantum state of a physical system …

Optical solitons to time-fractional Sasa-Satsuma higher-order non-linear Schrödinger equation via three analytical techniques

M Raheel, A Zafar, M Inc, E Tala-Tebue - Optical and Quantum Electronics, 2023 - Springer
This current research is about the exact solitons of time-fractional Sasa-Satsuma higher
order non-linear Schrödinger equation with novel definition of derivative that are achieved …

[HTML][HTML] Evaluation of the performance of fractional evolution equations based on fractional operators and sensitivity assessment

RU Rahman, MMM Qousini, A Alshehri, SM Eldin… - Results in Physics, 2023 - Elsevier
In this article, the nonlinear fractional Kudryashov's equation and the space–time fractional
nonlinear Tzitzeica–Dodd–Bullough (TDB) equation are solved using the new auxiliary …

Bifurcation, chaotic behaviors and solitary wave solutions for the fractional Twin-Core couplers with Kerr law non-linearity

Z Li, J Lyu, E Hussain - Scientific Reports, 2024 - nature.com
The main purpose of this article is to analyze the bifurcation, chaotic behaviors, and solitary
wave solutions of the fractional Twin-Core couplers with Kerr law non-linearity by using the …

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 …

[HTML][HTML] Construction solitons for fractional nonlinear Schrödinger equation with β-time derivative by the new sub-equation method

W Razzaq, A Zafar, HM Ahmed, WB Rabie - Journal of Ocean Engineering …, 2022 - Elsevier
This article applies the new sub-equation method to derive soliton solutions and other
solutions for unstable and modified unstable nonlinear Schrödinger equations with β-time …

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 …