Some new chiral and perturbed chiral solitary waves in quantum Hall effect

Autor: Dana Al-Saleh, SZ Hassan, RA Alomair, Mahmoud AE Abdelrahman
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Algorithms & Computational Technology, Vol 17 (2023)
Druh dokumentu: article
ISSN: 1748-3026
17483026
DOI: 10.1177/17483026231183375
Popis: In this article, we present a new form of solutions to the Chiral/perturbed Chiral nonlinear Schrödinger equation, using the unified solver method. This solver introduces the closed formula in an explicit way. In each problem, different families of elliptic functions solutions are found under suitable conditions. Moreover, some cases of hyperbolic solutions are obtained. The acquired solutions may be applicable for explaining various complex phenomena in the quantum Hall effect. The presented study displays that the proposed solver is simple, powerful and sturdy. For more details about the physical dynamical representation of the presented solutions, we introduce some graphs of some selected solutions using Matlab software. Finally, the presented solver can be used to solve many other models in real life problems.
Databáze: Directory of Open Access Journals