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Zbl 1225.35193
Yu, Fajun
A kind of integrable couplings of soliton equations hierarchy with self-consistent sources associated with $\tilde{sl}(4)$. (English)
[J] Phys. Lett., A 372, No. 44, 6613-6621 (2008). ISSN 0375-9601

Summary: A kind of integrable couplings of soliton equations hierarchy with self-consistent sources associated with $\tilde{sl}(4)$ is presented. As an application example, the hierarchy of Yang equations with self-consistent sources is derived. Furthermore, we construct an integrable couplings of the Yang soliton hierarchy with self-consistent sources by using of the loop algebra $\tilde{sl}(4)$.

MSC 2000:: *35Q51 Solitons
37K10 Completely integrable systems etc.
35C08
22E70 Appl. of Lie groups to physics

Keywords: Yang equations hierarchy; self-consistent sources; integrable couplings

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