Negative Hierarchy of Hydrodynamic Type Equations
Exactly Solvable and Integrable Systems
2026-05-05 v1
Abstract
The negative integrable hierarchies of shallow water waves and dispersionless Toda lattice equations are considered. The integrability is shown by explicit construction of an infinite set of conservation laws.
Cite
@article{arxiv.2605.02595,
title = {Negative Hierarchy of Hydrodynamic Type Equations},
author = {Kostyantyn Zheltukhin},
journal= {arXiv preprint arXiv:2605.02595},
year = {2026}
}
Comments
11 pages