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TMF, 2018, Volume 195, Number 2, Pages 197–208 (Mi tmf9437)  

Generalized lattice Heisenberg magnet model and its quasideterminant soliton solutions

H. Wajahat A. Riaz, M. Hassan

Department of Physics, University of Punjab, Lahore, Pakistan

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.

Keywords: discrete integrable system, soliton, Darboux transformation.

DOI: https://doi.org/10.4213/tmf9437

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English version:
Theoretical and Mathematical Physics, 2018, 195:2, 665–675

Bibliographic databases:

Document Type: Article
Received: 31.07.2017
Revised: 11.09.2017

Citation: H. Wajahat A. Riaz, M. Hassan, “Generalized lattice Heisenberg magnet model and its quasideterminant soliton solutions”, TMF, 195:2 (2018), 197–208; Theoret. and Math. Phys., 195:2 (2018), 665–675

Citation in format AMSBIB
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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