# Integrable negative flows of the Heisenberg ferromagnet equation hierarchy

@article{Ivanov2020IntegrableNF, title={Integrable negative flows of the Heisenberg ferromagnet equation hierarchy}, author={R. Ivanov}, journal={The European Physical Journal Plus}, year={2020}, volume={135}, pages={1-12} }

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 application of the dressing method is illustrated with the derivation of the one-soliton solution.

## 2 Citations

### EDITORIAL: “Solitons, Integrability, Nonlinear Waves: Theory and Applications”

- Materials ScienceThe European Physical Journal Plus
- 2021

1 Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria 2 Sankt-Petersburg State University of Aerospace Instrumentation, St-Petersburg, Russia 190000 3…

### NLS-type equations from quadratic pencil of Lax operators: Negative flows

- Chaos, Solitons & Fractals
- 2022

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