In this work, the tanh method is employed to compute some traveling wave patterns of the nonlinear third-order (2+1) dimensional Chaffee-Infante (CI) equation. The tanh technique is successfully used to get the traveling wave solutions of a considered model in the form of some hyperbolic functions. The Lie symmetry technique is used to analyze the Chaffee-Infante (CI) equation and compute the Infinitesimal generators under the invariance criteria of Lie groups. Then we construct the commutator table, adjoint representation table, and we have represented symmetry groups for each Infinitesimal generator. The optimal system and similarity reduction method is used to obtain some analytical solutions of the considered model. With the help of the similarity reduction method, we have converted the nonlinear partial differential equation into nonlinear ordinary differential equations (ODEs). Moreover, we have shown graphically obtained wave solutions by using the different values of involving parameters. Conserved quantities of nonlinear CI equation are obtained by the multiplier approach.

在这项工作中，tanh 方法用于计算非线性三阶 (2+1) 维 Chaffee-Infante (CI) 方程的一些行波模式。tanh 技术成功地用于以一些双曲线函数的形式获得所考虑模型的行波解。Lie 对称技术用于分析 Chaffee-Infante (CI) 方程并计算 Lie 群不变性准则下的无穷小生成元。然后我们构造交换子表，伴随表示表，并且我们已经表示了每个无穷小生成器的对称群。采用最优系统和相似度约简方法得到所考虑模型的一些解析解。借助相似度降低方法，我们已经将非线性偏微分方程转化为非线性常微分方程（ODE）。此外，我们已经通过使用不同的涉及参数值以图形方式显示了波解。非线性CI方程的守恒量是通过乘法器方法获得的。