In this paper we have discussed the analytical treatment of coupled integrable (2+1)-dimensional nonlinear Schrödinger equation with the help of our newly introduced method extended modified auxiliary equation mapping method(EMAEMM). By using this newly proposed method we have found some new and more general variety of exact traveling wave solutions which are collecting some kind of semi half bright, dark, bright, semi half dark, doubly periodic, combined, periodic, half hark and half bright via three parametric values which is the primary key point of difference of our technique. These results are highly applicable to develop new theories of plasma physics, quantum mechanics, biomedical problems, soliton dynamics, nuclear physics, optical physics, fluid dynamics, electromagnetism, industrial studies, mathematical physics, and in many other natural and physical sciences. For detailed physical dynamical representation of our results we have shown them with graphs in different dimensions using Mathematica 10.4 to get complete understanding in a more efficient manner to observe the behavior of different new dynamical shapes of solutions.

在本文中，我们借助于新引入的扩展扩展辅助方程映射方法（EMAEMM），讨论了可积分（2 + 1）维非线性Schrödinger方程的解析处理。通过使用这种新提出的方法，我们发现了一些新的和更通用的精确行波解，它们收集了某种半半亮，暗，明亮，半半暗，双周期，组合，周期性，半哈克和半亮通过三个参数值，这是我们技术差异的主要关键点。这些结果非常适用于开发等离子物理学，量子力学，生物医学问题，孤子动力学，核物理学，光学物理学，流体动力学，电磁学，工业研究，数学物理学等新理论，以及许多其他自然科学和物理科学。对于我们结果的详细物理动力学表示，我们使用Mathematica 10.4将它们显示在不同尺寸的图形上，从而以更有效的方式全面理解了观察溶液的不同新动力学形状的行为。