We study a problem of variable separation for the classical integrable hamiltonian systems possessing Lax matrices satisfying linear r-matrix algebra with skew-symmetric $sl(2)\otimes sl(2)$-valued trigonometric r-matrix. For all such the systems we produce new symmetric variables of separation. We show that the corresponding curve of separation differs from the spectral curve of the initial Lax matrix. The example of trigonometric Clebsch model is considered in details.

中文翻译：

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三角可积模型的变量对称分离

我们研究了具有Lax矩阵且满足线性r-矩阵代数且具有对称对称性的Lax矩阵的经典可分哈密尔顿系统的变量分离问题$s升（2）\otimes s升（2）$值三角r矩阵。对于所有这样的系统，我们产生新的分离对称变量。我们显示相应的分离曲线与初始Lax矩阵的光谱曲线不同。详细介绍了三角克莱布斯模型的示例。