This paper studies $(2+1)$-dimensional stochastic chiral nonlinear Schrödinger equation dynamically. A number of novel solutions such as periodic, singular, dark and bright solitons solutions are retrieved. The extraction of these solutions is helped by three efficient and robust integration tools such as the Kudryashov’s R function method, Jacobi elliptic function method (JEFM) and the modified auxiliary equations (MAE) method. The parametric constraints for the existence of such solutions are also listed. Moreover, 3D plots of few obtained solutions are presented in this paper.

中文翻译：

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(2+1) 维随机手性非线性薛定谔方程的手性孤子

本文研究$(2+1)$维随机手性非线性薛定谔方程动态。检索了许多新颖的解决方案，例如周期性、奇异、暗和亮孤子解决方案。三种有效且稳健的集成工具有助于提取这些解决方案，例如 Kudryashov 的R函数方法、雅可比椭圆函数方法 (JEFM) 和修正辅助方程 (MAE) 方法。还列出了存在此类解决方案的参数约束。此外，本文还介绍了少数获得的解决方案的 3D 图。