This paper studies the second extended Calogero-Bogoyavlenskii-Schiff (eCBS) equation in (2+1)–dimensions, which was proposed in the literature a short time ago. Firstly, Lie symmetries of the equation are derived and thereafter we use them to perform symmetry reductions. Using its translation symmetries, the eCBS equation is reduced to a fourth-order ordinary differential equation, which is then solved with the aid of three techniques to construct closed-form solutions. In addition, we portray the solutions with the appropriate graphical representations. Furthermore, conserved vectors of eCBS equation are computed by invoking multiplier procedure as well as Noether’s theorem.

本文研究了（2 + 1）维中的第二个扩展的Calogero-Bogoyavlenskii-Schiff（eCBS）方程，该方程是不久前在文献中提出的。首先，推导方程的Lie对称性，然后使用它们执行对称性约简。使用其平移对称性，将eCBS方程简化为四阶常微分方程，然后借助三种技术来求解，以构造闭式解。此外，我们以适当的图形表示形式描绘解决方案。此外，通过调用乘数程序以及Noether定理，可以计算eCBS方程的守恒矢量。