Geodesic
Multisolitons of the $U(N)$ generalized Heisenberg magnet model and the Yang–Baxter relation
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 2, pp. 208-221 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, conserved quantity.
Mots-clés : $r$-matrix 
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Z. Amjad; B. Haider. Multisolitons of the $U(N)$ generalized Heisenberg magnet model and the Yang–Baxter relation. Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 2, pp. 208-221. http://geodesic.mathdoc.fr/item/TMF_2020_205_2_a2/

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