Integrability of Exceptional Hydrodynamic Type Systems
Exactly Solvable and Integrable Systems
2018-02-15 v1
Abstract
In this paper we consider non-diagonalisable hydrodynamic type systems integrable by the Extended Hodograph Method. We restrict our consideration to non-diagonalisable hydrodynamic reductions of the Mikhalev equation. We show that families of these hydrodynamic type systems are reducible to the Heat hierarchy. Then we construct new particular explicit solutions for the Mikhalev equation.
Cite
@article{arxiv.1802.05202,
title = {Integrability of Exceptional Hydrodynamic Type Systems},
author = {Maxim V. Pavlov},
journal= {arXiv preprint arXiv:1802.05202},
year = {2018}
}