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 language | English |
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| Article number | 513 |
| Journal | European Physical Journal Plus |
| Volume | 135 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Jun 2020 |