Group Analysis of the Novikov Equation
Mathematical Physics
2014-04-08 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1202.3954,
title = {Group Analysis of the Novikov Equation},
author = {Yuri Bozhkov and Igor Leite Freire and Nail H. Ibragimov},
journal= {arXiv preprint arXiv:1202.3954},
year = {2014}
}