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Multisolitons of the \(U(N)\) generalized Heisenberg magnet model and the Yang–Baxter relation

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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.

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  1. Department of Physics, University of the Punjab, Lahore, Pakistan

    Z. Amjad & B. Haider

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  1. Z. Amjad
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  2. B. Haider
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Correspondence to Z. Amjad.

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Amjad, Z., Haider, B. Multisolitons of the \(U(N)\) generalized Heisenberg magnet model and the Yang–Baxter relation. Theor Math Phys 205, 1426–1438 (2020). https://doi.org/10.1134/S0040577920110033

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