Nonlocal Hydrodynamic Type of Equations
Exactly Solvable and Integrable Systems
2020-04-22 v1
Abstract
We show that the integrable equations of hydrodynamic type admit nonlocal reductions. We first construct such reductions for a general Lax equation and then give several examples. The reduced nonlocal equations are of hydrodynamic type and integrable. They admit Lax representations and hence possess infinitely many conserved quantities.
Cite
@article{arxiv.1906.08475,
title = {Nonlocal Hydrodynamic Type of Equations},
author = {Metin Gürses and Aslı Pekcan and Konstyantyn Zheltukhin},
journal= {arXiv preprint arXiv:1906.08475},
year = {2020}
}
Comments
19 Pages