A versatile integration tool, namely the protracted (or extended) Fan sub-equation (PFS-E) technique, is devoted to retrieving a variety of solutions for different models in many fields of the sciences. This essay presents the dynamics of progressive wave solutions via the 2D-chiral nonlinear Schrödinger (2D-CNLS) equation. The solutions acquired comprise dark optical solitons, periodic solitons, singular dark (bright) solitons, and singular periodic solutions. By comparing the results gained in this work with other literature, it can be noticed that the PFS-E method is an useful technique for finding solutions to other similar problems. Furthermore, some new types of solutions are revealed that will help us better understand the dynamic behaviors of the 2D-CNLS model.

一种通用的集成工具，即延长的（或扩展的）风扇子方程（PFS-E）技术，致力于为许多科学领域的不同模型检索各种解决方案。本文通过二维手性非线性薛定ding（2D-CNLS）方程介绍了渐进波解的动力学。获得的解包括暗光学孤子，周期孤子，奇异暗（亮）孤子和奇异周期解。通过将在这项工作中获得的结果与其他文献进行比较，可以注意到，PFS-E方法是寻找其他类似问题的解决方案的有用技术。此外，揭示了一些新型的解决方案，它们将帮助我们更好地理解2D-CNLS模型的动态行为。