Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. II. Special Solutions
Exactly Solvable and Integrable Systems
2018-08-21 v2
Abstract
This paper is a continuation of our previous work in which we studied a sl(3) Zakharov-Shabat type auxiliary linear problem with reductions of Mikhailov type and the integrable hierarchy of nonlinear evolution equations associated with it. Now, we shall demonstrate how one can construct special solutions over constant background through Zakharov-Shabat's dressing technique. That approach will be illustrated on the example of a generalized Heisenberg ferromagnet equation related to the linear problem for sl(3). In doing this, we shall discuss the difference between the Hermitian and pseudo-Hermitian cases.
Keywords
Cite
@article{arxiv.1711.06353,
title = {Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. II. Special Solutions},
author = {T. I. Valchev and A. B. Yanovski},
journal= {arXiv preprint arXiv:1711.06353},
year = {2018}
}
Comments
19 pages, revised version (a few typos have been corrected as well as some additional improvements in text have been made)