Integrable negative flows of the Heisenberg ferromagnet equation hierarchy
Exactly Solvable and Integrable Systems
2022-01-11 v1 Mathematical Physics
math.MP
Abstract
We study the negative flows of the hierarchy of the integrable Heisenberg Ferromagnet model and their soliton solutions. The first negative flow is related to the so-called short pulse equation. We provide a framework which generates Lax pairs for the other members of the hierarchy. The Inverse scattering, based on the dressing method is illustrated with the derivation of the one-soliton solution.
Keywords
Cite
@article{arxiv.2201.02655,
title = {Integrable negative flows of the Heisenberg ferromagnet equation hierarchy},
author = {Rossen I. Ivanov},
journal= {arXiv preprint arXiv:2201.02655},
year = {2022}
}
Comments
13 pages, LaTeX