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arXiv · 1607.08151

Darboux transformations and exact soliton solutions of integrable coupled spin systems related with the Manakov system

Akbota Myrzakul·Ratbay Myrzakulov
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Abstract

We construct a Darboux transformation of a general $su(3)$-valued spin system called the $\Gamma$-spin system. Using this Darboux transformation we derive a recursive formula for the soliton solutions of this spin system. Then using these results we present explicit expressions for the 1-soliton solution of the coupled $su(2)$-valued spin systems, namely, of the coupled M-LIII equation.

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Akbota Myrzakul, Ratbay Myrzakulov. 2016-07-27. Darboux transformations and exact soliton solutions of integrable coupled spin systems related with the Manakov system. https://arxiv.org/abs/1607.08151

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