2009/12/23 by U. Saleem, M. Hassan, Mahmood Ul Hassan · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Computer science #Construct (python library) #Group (periodic table) #Heisenberg group #Heisenberg model #Lie group #Magnet #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Soliton #Transformation (genetics) #nlin.SI
paper · pdf · doi:10.1088/1751-8113/43/4/045204
published as J. Phys. A: Math. Theor. 43 (2010) 045204
openalex publication_date 2009/12/23 · arxiv created 2009/12/26 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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).