In this paper, we applied some computational tools, namely the modified extended tanh method via a Riccati equation, the general Exp\(_{a}\)-function method and the bifurcation methods to study a nonlinear (2+1)-dimensional Bogoyavlenskii coupled system in thin-film ferroelectric medium to construct exact traveling wave solutions. By applying a classical wave transformation we obtained an ordinary differential equations. As a result, some new traveling wave solutions are obtained including hyperbolic, trigonometric, exponential functions and rational forms. If the parameters take specific values, then the periodic wave, solitary waves, kink and anti-kink wave solutions are derived from the traveling waves. Also, we draw 2D and 3D graphics of exact solutions for the special cases of these nonlinear equations by the help of programming language Maple.

在本文中，我们应用了一些计算工具，即通过Riccati方程的改进的扩展tanh方法，即一般Exp \（_ {a} \）函数方法和分叉方法研究薄膜铁电介质中非线性（2 + 1）维Bogoyavlenskii耦合系统，以构造精确的行波解。通过应用经典的波变换，我们获得了一个常微分方程。结果，获得了一些新的行波解，包括双曲线，三角函数，指数函数和有理形式。如果参数取特定值，则从行波中得出周期波，孤立波，扭结和反扭结解。此外，我们借助编程语言Maple绘制了这些非线性方程组特殊情况的精确解的2D和3D图形。