Integrable negative flows of the Heisenberg ferromagnet equation hierarchy

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2 Citations (Scopus)

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 application of the dressing method is illustrated with the derivation of the one-soliton solution.

Original languageEnglish
Article number513
JournalEuropean Physical Journal Plus
Volume135
Issue number6
DOIs
Publication statusPublished - 1 Jun 2020

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