Author ORCID Identifier
0000-0003-1008-8272
Document Type
Article
Rights
Available under a Creative Commons Attribution Non-Commercial Share Alike 4.0 International Licence
Disciplines
1.1 MATHEMATICS
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.
DOI
https://doi.org/10.1140/epjp%2Fs13360-020-00524-3
Recommended Citation
Ivanov, R. (2020). Integrable negative flows of the Heisenberg ferromagnet equation hierarchy. The European Physical Journal Plus, 135, 1-12. DOI:10.1140/epjp/s13360-020-00524-3
Publication Details
European Physical Journal Plus