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.

中文翻译：

---

多组分等离子体中（2 +1）维非线性Schrödinger方程的稳定性分析，孤波和显式幂级数解

目的

本文的目的是研究（2 +1）维非线性Schrödinger方程的稳定性分析和光孤波解，该方程是从不具有广泛分布的多组分等离子体中导出的。

设计方法论方法

基于ansatz和子方程理论，作者使用直接方法找到（2 +1）维方程的稳定性分析和光学孤波解。

发现

通过考虑ansatz方法，作者成功地构造了方程的明暗孤子解。子方程法也得到了扩展，以找到其复数解。此外，还通过其收敛性分析得出了显式幂级数解。最后，通过图形分析讨论了每个参数对这些解决方案的影响。

创意价值

对这些解决方案的动力学进行了分析，以丰富高维非线性Schrödinger方程型非线性波场的动力学多样性。