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

• Published in: Journal of algorithms & computational technology Vol. 17
• Main Authors: Al-Saleh, Dana, Hassan, SZ, Alomair, RA, Abdelrahman, Mahmoud AE
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.01.2023; Sage Publications Ltd; SAGE Publishing
• Subjects: Elliptic functions; Quantum Hall effect; Schrodinger equation; Solitary waves; Solvers; 81Q15; 35C05; Chiral nonlinear Schrödinger equations; unified solver method; Jacobi elliptic functions; chiral solitary waves; 35Q55; Matlab release 18; 35Q40; physical applications; AMS subject classifications: 34A34; 35C08
• ISSN: 1748-3018; 1748-3026
• DOI: 10.1177/17483026231183375

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.