We find the Lie point symmetries of the Novikov equation and demonstrate thatView original: http://arxiv.org/abs/1202.3954
it is strictly self-adjoint. Using the self-adjointness and the recent
technique for constructing conserved vectors associated with symmetries of
differential equations, we find the conservation law corresponding to the
dilations symmetry and show that other symmetries do not provide nontrivial
conservation laws. Then we investigat the invariant solutions.