APPRAISAL OF ANALYTICAL SOLUTIONS FOR (2 + 1)-DIMENSIONAL NONLINEAR CHIRAL SCHRÖDINGER EQUATION

Muhammad Bilal Riaz, Jan Awrejcewicz (), Adil Jhangeer () and Maham Munawar ()
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Muhammad Bilal Riaz: Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego Street, 90-924 Šódź, Poland2Department of Mathematics, University of Management and Technology, 54770 Lahore, Pakistan
Jan Awrejcewicz: Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego Street, 90-924 Šódź, Poland
Adil Jhangeer: Department of Mathematics, Namal University, Talagang Road, Mianwali 42250, Pakistan
Maham Munawar: Department of Mathematics, University of Management and Technology, 54770 Lahore, Pakistan

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-18

Abstract: The solitary wave solutions of the (2 + 1)-dimensional nonlinear Chiral Schrödinger ((2 + 1)-D CNLS) equation by making use of the modern extended direct algebraic approach are investigated in this paper. Such a nonlinear model’s different categories of solitary waves solutions are found. The division of semi-dark solitons, singular dark-pitch solitons, single solitons of type 1 along with 2, intermixed hyperbolically, trigonometrically and rational solitons are developed and evaluated using software tools for numerical calculations. Detailed graphical interpretation of results with deliberation is also discussed. This paper effectively depicts 3D- and 2D-contour plots to provide further detail about the physical characteristics of the obtained solutions. We compare our solutions to previously reported findings along with study motivation and future directions. The fractional quantum hall effect’s edge states are defined by the discussed model.

Keywords: New Extended Algebraic Method; Fractional Quantum Hall Effect; Soliton Solutions (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401594

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