Integrable negative flows of the Heisenberg ferromagnet equation hierarchy
arXiv:2201.02655 · doi:10.1140/epjp/s13360-020-00524-3
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.
13 pages, LaTeX
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