Negative Times of the Davey-Stewartson Integrable Hierarchy
Exactly Solvable and Integrable Systems
2021-10-13 v2
Abstract
We use example of the Davey-Stewartson hierarchy to show that in addition to the standard equations given by Lax operator and evolutions of times with positive numbers, one can consider time evolutions with negative numbers and the same Lax operator. We derive corresponding Lax pairs and integrable equations.
Cite
@article{arxiv.2106.03835,
title = {Negative Times of the Davey-Stewartson Integrable Hierarchy},
author = {Andrei K. Pogrebkov},
journal= {arXiv preprint arXiv:2106.03835},
year = {2021}
}