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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 205, Number 2, Pages 208–221
DOI: https://doi.org/10.4213/tmf9890 (Mi tmf9890) 		 
Multisolitons of the U(N) generalized Heisenberg magnet model and the Yang–Baxter relation

Z. Amjad, B. Haider

Department of Physics, University of the Punjab, Lahore, Pakistan
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DOI: https://doi.org/10.4213/tmf9890
Abstract: We use the binary Darboux transformation to obtain exact multisoliton solutions of the U(N) generalized Heisenberg magnet model and present the solutions in terms of quasideterminants. In addition, based on using the Poisson bracket algebra, we develop a new canonical approach of the type of the r-matrix approach for the generalized Heisenberg magnet model.
Keywords: quasideterminant, noncommutative integrable system, binary Darboux transformation, r-matrix, conserved quantity.
Received: 19.02.2020
Revised: 21.06.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 205, Issue 2, Pages 1426–1438
DOI: https://doi.org/10.1134/S0040577920110033
Bibliographic databases:
Document Type: Article
PACS: 11.30.Pb, 11.10.Nx, 04.20.Jb, 02.30.Ik
Language: Russian
Citation: Z. Amjad, B. Haider, “Multisolitons of the U(N) generalized Heisenberg magnet model and the Yang–Baxter relation”, TMF, 205:2 (2020), 208–221; Theoret. and Math. Phys., 205:2 (2020), 1426–1438
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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