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}
}
  • R. Ivanov
  • Published 1 June 2020
  • Physics
  • The European Physical Journal Plus
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”

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

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