Volume 25, Issue 3, July 2018, Pages 442 - 461
Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. II. Special Solutions
Authors
T. I. Valchev
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., 1113 Sofia, Bulgaria,tiv@math.bas.bg
A. B. Yanovski
Department of Mathematics & Applied Mathematics, University of Cape Town, Rondebosch 7700, Cape Town, South Africa,Alexandar.Ianovsky@uct.ac.za
Received 22 November 2017, Accepted 19 March 2018, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2018.1494747How to use a DOI?
- Keywords
- generalized HF equation; dressing method; soliton solutions; quasi-rational solutions
- Abstract
This paper is a continuation of our previous work in which we studied a sl(3, ℂ) Zakharov-Shabat type auxiliary linear problem with reductions of Mikhailov type and the corresponding integrable hierarchy of nonlinear evolution equations. 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 the generalized Heisenberg ferromagnet equation related to the linear problem for sl(3, ℂ). In doing this, we shall discuss the differences between the Hermitian and pseudo-Hermitian cases.
- Copyright
- © 2018 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - T. I. Valchev AU - A. B. Yanovski PY - 2021 DA - 2021/01/06 TI - Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. II. Special Solutions JO - Journal of Nonlinear Mathematical Physics SP - 442 EP - 461 VL - 25 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2018.1494747 DO - 10.1080/14029251.2018.1494747 ID - Valchev2021 ER -