Symmetry structure of integrable non-evolutionary equations
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
We study a class of evolutionary partial differential systems with two components related to second order (in time) non-evolutionary equations of odd order in spatial variable. We develop the formal diagonalisation method in symbolic representation, which enables us to derive an explicit set of necessary conditions of existence of higher symmetries. Using these conditions we globally classify all such homogeneous integrable systems, i.e. systems which possess a hierarchy of infinitely many higher symmetries.
Cite
@article{arxiv.nlin/0702045,
title = {Symmetry structure of integrable non-evolutionary equations},
author = {Vladimir S. Novikov and Jing Ping Wang},
journal= {arXiv preprint arXiv:nlin/0702045},
year = {2007}
}
Comments
Submitted to Studies in Applied Mathematics