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 symmetry and consequently they are inherited by the reduced differential equations., “Symmetry Analysis and Reductions Through Conservation Laws of a Generalized Bogoyavlensky-Konopelchenko Equation in $(2+1)$-Dimensions”, JVTSD, vol. 5, no. 3, pp. 249–257, Aug. 2026, doi: 10.5890/JVTSD.2021.09.005.