On the Group Analysis of a Modified Novikov Equation

In this work, we study a modified Novikov equation using group methods. A complete group classification is carried out. Then from the point symmetry generators, we find the one-parameter group of local diffeomorfisms which preserves the equation. From the Lie symmetry generators, we also obtain exact solutions to the considered equation. It is also proved that only one nontrivial conservation law can be established using Ibragimov’s recent developments.