[HTML][HTML] Propagation of optical pulses in fiber optics modelled by coupled space-time fractional dynamical system

N Nasreen, D Lu, Z Zhang, A Akgül, U Younas… - Alexandria Engineering …, 2023 - Elsevier
This article focuses on securing distinct optical solitons to optical fiber with the coupled
nonlinear Schrödinger equation. The examined equation is analyzed with the aid of …

Discussion of numerical and analytical techniques for the emerging fractional order murnaghan model in materials science

S Duran, H Durur, M Yavuz, A Yokus - Optical and Quantum Electronics, 2023 - Springer
The Murnaghan model of the doubly dispersive equation, which is well-known in the field of
materials research, is taken into consideration in this work. This equation is resolved using …

[HTML][HTML] On traveling wave solutions with bifurcation analysis for the nonlinear potential Kadomtsev-Petviashvili and Calogero–Degasperis equations

SMR Islam, US Basak - Partial Differential Equations in Applied …, 2023 - Elsevier
In this study, we delve into the exploration of the (2+ 1)-dimensional potential Kadomtsev-
Petviashvili (pKP) and Calogero–Degasperis equation (CDE) models, which hold significant …

Exact traveling wave solutions and soliton solutions of conformable M-fractional modified nonlinear Schrödinger model

N Das, SS Ray - Optik, 2023 - Elsevier
The traveling wave solutions and soliton solutions of the conformable M-fractional modified
nonlinear Schrödinger equation have been devised in this work by employing the …

Discovery of new exact wave solutions to the M-fractional complex three coupled Maccari's system by Sardar sub-equation scheme

AK Alsharidi, A Bekir - Symmetry, 2023 - mdpi.com
In this paper, we succeed at discovering the new exact wave solutions to the truncated M-
fractional complex three coupled Maccari's system by utilizing the Sardar sub-equation …

Optical solitons using optimal homotopy analysis method for time-fractional (1+ 1)-dimensional coupled nonlinear Schrodinger equations

KK Ali, M Maneea - Optik, 2023 - Elsevier
In this paper, the optimal homotopy analysis method is applied to solve (1+ 1)-dimensional
time-fractional coupled nonlinear Schrödinger equations. The proposed method is a …

Discovering optical soliton solutions in the Biswas–Milovic equation through five innovative approaches

M Ozisik, A Secer, M Bayram - Optik, 2023 - Elsevier
Purpose: In recent years, depending on the development of models containing highly
dispersive nonlinear equations, especially in the field of nonlinear optics, it has been …

Optical soliton solutions: the evolution with changing fractional-order derivative in Biswas–Arshed and Schrödinger Kerr law equations

Asaduzzaman, MA Akbar - Optical and Quantum Electronics, 2024 - Springer
The space–time fractional Biswas–Arshed and Schrödinger Kerr law equations featuring
beta derivative hold substantial application in nonlinear optics, optical solitons, ultrafast …

Application of the new mapping method to complex three coupled Maccari's system possessing M-fractional derivative

MB Riaz, AU Rehman, J Martinovic - Chaos Theory and …, 2024 - dergipark.org.tr
In this academic investigation, an innovative mapping approach is applied to complex three
coupled Maccari's system to unveil novel soliton solutions. This is achieved through the …

Soliton solutions to the conformable time-fractional generalized Benjamin–Bona–Mahony equation using the functional variable method

M Eslami, M Matinfar, Y Asghari… - Optical and Quantum …, 2024 - Springer
The fundamental intention of this article is to find several soliton solutions to the generalized
Benjamin–Bona–Mahony equation. The fractional derivatives are described in the …