Abstract
We consider a Darboux transformation of a generalized lattice (or semidiscrete) Heisenberg magnet (GLHM) model. We define a Darboux transformation on solutions of the Lax pair and on solutions of the spin evolution equation of the GLHM model. The solutions are expressed in terms of quasideterminants. We give a general expression for K-soliton solutions in terms of quasideterminants. Finally, we obtain one- and two-soliton solutions of the GLHM model using quasideterminant properties.
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 195, No. 2, pp. 197–208, May, 2018.
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Wajahat, H., Riaz, A. & Hassan, M. Generalized Lattice Heisenberg Magnet Model and Its Quasideterminant Soliton Solutions. Theor Math Phys 195, 665–675 (2018). https://doi.org/10.1134/S0040577918050033
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DOI: https://doi.org/10.1134/S0040577918050033