Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. II. Special Solutions
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 solut...
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| Veröffentlicht in: | Journal of nonlinear mathematical physics 2018-01, Vol.25 (3), p.442-461 |
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| container_title | Journal of nonlinear mathematical physics |
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| creator | Valchev, T. I. Yanovski, A. B. |
| description | 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 back- ground 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. |
| doi_str_mv | 10.1080/14029251.2018.1494747 |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; SpringerNature Journals |
| subjects | dressing method Ferromagnetism generalized HF equation Nonlinear evolution equations quasi-rational solutions Research Article soliton solutions |
| title | Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. II. Special Solutions |
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