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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 195, Number 2, Pages 197–208
DOI: https://doi.org/10.4213/tmf9437 (Mi tmf9437) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Generalized lattice Heisenberg magnet model and its quasideterminant soliton solutions

H. Wajahat A. Riaz, M. Hassan

Department of Physics, University of Punjab, Lahore, Pakistan
Full-text PDF (1117 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf9437
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.
Received: 31.07.2017
Revised: 11.09.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 195, Issue 2, Pages 665–675
DOI: https://doi.org/10.1134/S0040577918050033
Bibliographic databases:
Document Type: Article
Language: Russian
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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  • https://www.mathnet.ru/eng/tmf/v195/i2/p197
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:35
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