Optical soliton solutions to the fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations

MM Haque, MA Akbar, MS Osman - Optical and Quantum Electronics, 2022 - Springer
In nonlinear optics, photonics, plasma, condensed matter physics, and other domains, the
space–time fractional nonlinear Fokas–Lenells and paraxial Schrödinger equations …

[HTML][HTML] Supernonlinear wave, associated analytical solitons, and sensitivity analysis in a two-component Maxwellian plasma

MB Riaz, A Jhangeer, A Atangana… - Journal of King Saud …, 2022 - Elsevier
This analysis investigates the occurrence of super nonlinear waves (SNWs) in a two-
component electron-ion plasma containing Maxwell distributed electrons. The effect of Mach …

Stability, convergence and error analysis of B-spline collocation with Crank–Nicolson method and finite element methods for numerical solution of Schrodinger …

SR Jena, A Senapati - Physica Scripta, 2023 - iopscience.iop.org
In the present study, the complex-valued Schrodinger equation (CVSE) is solved
numerically by a nonic B-spline finite element method (FEM) in quantum mechanics. The …

Wave propagation and stability analysis for Ostrovsky and symmetric regularized long-wave equations

M Kaplan, RT Alqahtani, NH Alharthi - Mathematics, 2023 - mdpi.com
This work focuses on the propagation of waves on the water's surface, which can be
described via different mathematical models. Here, we apply the generalized exponential …

Exploration of interactional phenomena and multi‐wave solutions of the fractional‐order dual‐mode nonlinear Schrödinger equation

B Kopçasız, E Yaşar - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
This work concerns the fractional‐order dual‐mode nonlinear Schrödinger equation
(FDMNLSE), which portrays the augmentation or absorption of dual waves. This model …

A study on dark bright soliton conversion and its application in periodically distributed optical fibre

S Mandal, C Rajowar, A Sinha - Pramana, 2023 - Springer
The behaviour of short optical pulses in a real system in the presence of periodically
distributed dispersion along with nonlinearity influenced by the third-order nonlinear …

Some Novel Optical Solutions for the Generalized M‐Fractional Coupled NLS System

B Hong, J Zhou, X Zhu, Y Wang - Journal of Function Spaces, 2023 - Wiley Online Library
In this work, some novel optical solutions for the (1+ 1)‐dimensional generalized M‐
fractional coupled nonlinear Schrödinger system (GMFCNLS) arising in ocean engineering …

Novel Solutions of Perturbed Boussinesq Equation

ŞT Demiray, U Bayrakcı - Journal of Mathematical Sciences and …, 2022 - dergipark.org.tr
In this article, we have worked on the perturbed Boussinesq equation. We have applied the
generalized Kudryashov method (GKM) and sine-Gordon expansion method (SGEM) to the …

Qualitative and quantitative analysis of high-order nonlinear time–space fractional Schrödinger equation in mono-mode optical fibres

X Xiao - Pramana, 2022 - Springer
The dynamic properties and the analytic solutions of high-order nonlinear time–space
fractional Schrödinger equation are studied in this article. Based on a conserved …

New Exact Traveling Wave Solutions of the (3+ 1)-Dimensional Chiral Nonlinear Schrodinger Equation Using Two Reliable Techniques: Annual Meeting in …

M Torvattanabun, N Khansai… - Thai Journal of …, 2024 - thaijmath2.in.cmu.ac.th
In this research, we study a (3+ 1)-dimensional chiral nonlinear Schrodinger equation
(CNLSE) and find its exact traveling wave solutions via the extended simplest equation …