Group Analysis of the Novikov Equation
  We find the Lie point symmetries of the Novikov equation and demonstrate that 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. 
Yuri Bozhkov, Igor Leite Freire and Nail H. Ibragimov
math-ph math.MP