In the present letter, some invariant solutions of (2+1)-dimensional extended shallow water wave equation are studied. We reduce the equation to an ordinary differential equation(ODE) via the Lie symmetry method. The similarity transformation method is used to determine the group-invariant solutions for the equation. The method plays an important role to reduce the number of independent variables by one in each stage and finally forms an ODE. On the other hand, solutions provide rich physical configuration due to the presence of some distinct arbitrary constants and functions. Furthermore, numerical simulation has been done to trace out the derived results which illustrate the dynamic behavior of these obtained solutions.

在本文中，研究了（2 + 1）维扩展浅水波方程的一些不变解。通过李对称法将方程简化为常微分方程（ODE）。相似变换方法用于确定方程的组不变解。该方法在将每个阶段的自变量数量减少一个并最终形成ODE方面起着重要作用。另一方面，由于存在一些不同的任意常数和函数，解决方案提供了丰富的物理配置。此外，已经进行了数值模拟以追踪导出的结果，这些结果说明了这些获得的解决方案的动态行为。