Effects of Brownian noise strength on new chiral solitary structures

• Published in: Journal of low frequency noise, vibration, and active control Vol. 42; no. 2; pp. 826 - 838
• Main Authors: Alharbi, Yousef F, El-Shewy, Emad K, Abdelrahman, Mahmoud AE
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.06.2023; Sage Publications Ltd; SAGE Publishing
• Subjects: Acceptable noise levels; Brownian motion; Damping; Electrical noise; Envelopes; Noise factor; Nonlinear equations; Quantum Hall effect; Schrodinger equation; Solitary waves; Brownian motion process; symbolic computation; solitary waves; Chiral Schrödinger equation; unified solver
• ISSN: 1461-3484; 2048-4046
• DOI: 10.1177/14613484221134994

In this paper, we investigate the nonlinear Chiral Schrödinger equation (CNLSE) in two dimensions where noise term affected randomly with time. This equation characterized some edges states of fractional-Hall Effect features in quantum. The CNLSE with multiplicative noise effects is studied as dynamical system to specify the acceptable solution types and then solved by unified solver method. The presented solutions are periodic envelopes, explosive, dissipative, symmetric solitons, and blow up waves. It was confirmed that the noise factor is dominant on all the wave conversion, growing and damping of envelopes and shocks. The presented technique in this study can be easily utilized for other nonlinear equations in applied science. Mathematics Subject Classification (2010): 35C08, 65C20, 60H15, 35Q40, 35Q55, 35Q62