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arXiv · 2201.02655

Integrable negative flows of the Heisenberg ferromagnet equation hierarchy

Rossen I. Ivanov
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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.

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Rossen I. Ivanov. 2022-01-07. Integrable negative flows of the Heisenberg ferromagnet equation hierarchy. https://doi.org/10.1140/epjp/s13360-020-00524-3

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