Quasideterminant solutions of the generalized Heisenberg magnet model

In this paper we present the Darboux transformation for the generalized Heisenberg magnet (GHM) model based on the general linear Lie group GL(n) and construct multi-soliton solutions in terms of quasideterminants. Further we relate the quasideterminant multi-soliton solutions obtained by means of D...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2010-01, Vol.43 (4), p.045204-045204 (12)
Main Authors: Saleem, U, Hassan, M
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
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Summary:In this paper we present the Darboux transformation for the generalized Heisenberg magnet (GHM) model based on the general linear Lie group GL(n) and construct multi-soliton solutions in terms of quasideterminants. Further we relate the quasideterminant multi-soliton solutions obtained by means of Darboux transformation with those obtained by the dressing method. We also discuss the model based on the Lie group SU(n) and obtain explicit soliton solutions of the model based on SU(2).
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/43/4/045204