Dispersionless (3+1)-dimensional integrable hierarchies
Exactly Solvable and Integrable Systems
2017-07-05 v1
Abstract
In the present paper we introduce a multi-dimensional version of the R-matrix approach to the construction of integrable hierarchies. Applying this method to the case of the Lie algebra of functions with respect to the contact bracket, we construct integrable hierarchies of (3+1)-dimensional dispersionless systems of the type recently introduced by one of us in arXiv:1401.2122.
Cite
@article{arxiv.1605.07592,
title = {Dispersionless (3+1)-dimensional integrable hierarchies},
author = {Maciej Blaszak and Artur Sergyeyev},
journal= {arXiv preprint arXiv:1605.07592},
year = {2017}
}
Comments
15 pages, no figures