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Stability analysis, solitary wave and explicit power series solutions of a (2 + 1)-dimensional nonlinear Schrödinger equation in a multicomponent plasma

Shou-Fu Tian (School of Mathematics, China University of Mining and Technology, Xuzhou, China)
Xiao-Fei Wang (School of Mathematics, China University of Mining and Technology, Xuzhou, China)
Tian-Tian Zhang (School of Mathematics, China University of Mining and Technology, Xuzhou, China)
Wang-Hua Qiu (College of Sciences, Jiujiang University, Jiujiang, China)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 1 February 2021

Issue publication date: 3 May 2021

107

Abstract

Purpose

The purpose of this paper is to study the stability analysis and optical solitary wave solutions of a (2 + 1)-dimensional nonlinear Schrödinger equation, which are derived from a multicomponent plasma with nonextensive distribution.

Design Methodology Approach

Based on the ansatz and sub-equation theories, the authors use a direct method to find stability analysis and optical solitary wave solutions of the (2 + 1)-dimensional equation.

Findings

By considering the ansatz method, the authors successfully construct the bright and dark soliton solutions of the equation. The sub-equation method is also extended to find its complexitons solutions. Moreover, the explicit power series solution is also derived with its convergence analysis. Finally, the influences of each parameter on these solutions are discussed via graphical analysis.

Originality Value

The dynamics of these solutions are analyzed to enrich the diversity of the dynamics of high-dimensional nonlinear Schrödinger equation type nonlinear wave fields.

Keywords

Acknowledgements

Authors express their sincere thanks to the editor and reviewers for their valuable comments. This work was supported by the National Natural Science Foundation of China (Grant No. 11975306), the Natural Science Foundation of Jiangsu Province (Grant No. BK20181351), the Six Talent Peaks Project in Jiangsu Province (Grant No. JY-059), the Provincial Natural Science Foundation of Jiangxi (Grant No. GJJ161086) and the Fundamental Research Fund for the Central Universities (Grant No. 2019ZDPY07 and 2019QNA35).

Citation

Tian, S.-F., Wang, X.-F., Zhang, T.-T. and Qiu, W.-H. (2021), "Stability analysis, solitary wave and explicit power series solutions of a (2 + 1)-dimensional nonlinear Schrödinger equation in a multicomponent plasma", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 5, pp. 1732-1748. https://doi.org/10.1108/HFF-08-2020-0517

Publisher

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Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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