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