The analytical solutions of the integrable generalized $(2+1)$-dimensional nonlinear conformable Schrödinger (NLCS) system of equations was explored in this paper with the aid of three novel techniques which consist of $(G^{\prime }/G)$-expansion method, generalized Riccati equation mapping method and the Kudryashov method in the conformable sense. We have discovered a new and more general variety of exact traveling wave solutions by using the proposed methods with a variety of soliton solutions of several structures. With several plots illustrating the behavior of dynamic shapes of the solutions, the findings are highly applicable and detailed the physical dynamic of the considered nonlinear system.

可积广义的解析解 $（\mathrm{2个}+\mathrm{1个}）$本文借助三种新颖的技术探索了三维非线性适形薛定ding（NLCS）方程组 $（G^{\prime }/G）$扩展方法，广义Riccati方程映射方法和Kudryashov方法的一致性。通过使用提出的方法和几种结构的各种孤子解，我们发现了一种新的且更通用的精确行波解。用一些图解说明了解决方案的动态形状的行为，这些发现是高度适用的，并且详细介绍了所考虑的非线性系统的物理动力学。