Similarity solutions and conservation laws for the Bogoyavlensky-Konopelchenko equation by Lie point symmetries

Abstract

The 1 + 2 dimensional Bogoyavlensky-Konopelchenko equation is investigated for its solution and conservation laws using the Lie point symmetry analysis. In the recent past, certain work has been done describing the Lie point symmetries for the equation and this work seems to be incomplete (S.S. Ray, Computers & Mathematics with Applications 74(6) (2017), 1158{1165). We obtained certain new symmetries and corresponding conservation laws. The travelling-wave solution and some other similarity solutions are studied.