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$A_{2}^{(2)}$ Gaudin model and its associated Knizhnik-Zamolodchikov equation

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$A_{n-1}^{(1)}$ Reflection K-Matrices

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$C_{n}^{(1)}$, $D_{n}^{(1)}$ and $A_{2n-1}^{(2)}$ reflection K-matrices

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$F$-manifolds with eventual identities, bidifferential calculus and twisted Lenard-Magri chains

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$osp(1|2)$ off-shell Bethe ansatz equation with boundary terms

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$P_\infty$ algebra of KP, free fermions and 2-cocycle in the Lie algebra of pseudodifferential operators

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$q$-analogue of modified KP hierarchy and its quasi-classical limit

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$R$-matrices and Hamiltonian Structures for Certain Lax Equations

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$sl(2|1)^{(2)}$ Gaudin Magnet and its associated Knizhnik-Zamolodchikov equation

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$w_{\infty}$ 3-algebra and integrable system

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