In this article we have discussed the analytical analysis of two dimensional modified Korteweg-devries (mK-dV) equation arising in plasma physics that governs the ion-acoustic solitary waves for their asymptotic behavior because of the trapping of electrons using auxiliary equation mapping method. By using this technique we have obtained some quite general and new variety of exact traveling wave solutions which are collecting some kind of semi half bright, bright, dark, 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 quantum mechanics, biomedical problems, soliton dynamics, plasma physics, nuclear physics, optical physics, fluid dynamics, electromagnetism, industrial studies, mathematical physics, biomedical problems, 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 via Mathematica 10.4 to get more understanding of different new dynamical shapes of solutions.

在本文中，我们讨论了在等离子体物理学中产生的二维修正Korteweg-devries（mK-dV）方程的解析分析，该方程通过辅助方程映射方法控制电子-离子孤波的渐近行为，从而控制了它们的渐近行为。通过使用该技术，我们获得了一些相当普通的新行波精确解，它们通过三种方式收集了某种半半亮，明亮，暗，半半暗，双周期，组合，周期性，半哈克和半亮的信号。参数值是我们技术差异的主要关键点。这些结果非常适用于开发新的量子力学，生物医学问题，孤子动力学，等离子体物理学，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，生物医学问题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，我们通过Mathematica 10.4将它们显示为不同尺寸的图形，以更好地理解解决方案的不同新动力学形状。