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Appraisal Of Analytical Solutions For (2 + 1)-Dimensional Nonlinear Chiral Schrã–Dinger Equation

Author

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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)

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.

Suggested Citation

  • Muhammad Bilal Riaz & Jan Awrejcewicz & Adil Jhangeer & Maham Munawar, 2022. "Appraisal Of Analytical Solutions For (2 + 1)-Dimensional Nonlinear Chiral Schrã–Dinger Equation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-18, August.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401594
    DOI: 10.1142/S0218348X22401594
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