symmetry, I. this paper we obtain L. symmetries and travelling wave solutions for a generalized B.-K. equation in- dimensions. M. we determine some low- order conservation laws which are invariant under the translation, & equations., consequently they are inherited by the reduced differential. (2026). Symmetry Analysis and Reductions Through Conservation Laws of a Generalized Bogoyavlensky-Konopelchenko Equation in $(2+1)$-Dimensions. Journal of Vibration Testing and System Dynamics, 5(3), 249-257. https://doi.org/10.5890/JVTSD.2021.09.005