Richness or Semi-Hamiltonicity of quasi-linear systems which are not in evolution form
Analysis of PDEs
2011-02-02 v1 Exactly Solvable and Integrable Systems
Abstract
The aim of this paper is to consider quasi-linear systems which are not in the form of evolution equations. We propose new condition of Richness or Semi-Hamiltonicity for such a system and prove that the blow up analysis along characteristic curves can be performed for it in an analogous manner. This opens a possibility to use this ansatz also for geometric problems. We apply the results to the problem of Polynomial integral for geodesic flows on the 2-torus.
Keywords
Cite
@article{arxiv.1101.5897,
title = {Richness or Semi-Hamiltonicity of quasi-linear systems which are not in evolution form},
author = {Michael and Bialy},
journal= {arXiv preprint arXiv:1101.5897},
year = {2011}
}