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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.
Ivanov, R. (2020). Integrable negative flows of the Heisenberg ferromagnet equation hierarchy. The European Physical Journal Plus, 135, 1-12. DOI:10.1140/epjp/s13360-020-00524-3