We show that the integrable equations of hydrodynamic type admit nonlocal reductions. We first construct such reductions for a general Lax equation and then give several examples. The reduced nonlocal equations are of hydrodynamic type and integrable. They admit Lax representations and hence possess infinitely many conserved quantities.

中文翻译：

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非局部流体动力类型的方程

我们表明，流体动力学类型的可积方程接受非局部还原。我们首先为一般的Lax方程构造这样的约简，然后给出几个例子。简化的非局部方程是流体动力学类型的并且是可积分的。他们承认宽松的表示，因此拥有无限多个保守量。