Integrable negative flows of the Heisenberg ferromagnet equation hierarchy
School of Mathematical Sciences, Technological University Dublin, City Campus, Kevin Street, D08 NF82, Dublin, Ireland
Accepted: 11 June 2020
Published online: 22 June 2020
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020