保积分的Liouville型非自治方程的离散化
Discretization of Liouville type nonautonomous equations preserving integrals
摘要：
讨论了Liouville型可积偏微分方程的半离散可积模拟的构造问题。如果这两个方程有一个共同的积分，我们称半离散方程为Liouville型偏微分方程的离散化。对于著名的Goursat表中的Liouville型可积方程，其最小阶积分的阶数小于或等于2，我们给出了一个相应的半离散形式的表.该列表包含非自治达布可积链的新例子。
英文摘要：
The problem of constructing semi-discrete integrable analogues of the Liouville type integrable PDE is discussed. We call the semi-discrete equation a discretization of the Liouville type PDE if these two equations have a common integral. For the Liouville type integrable equations from the well-known Goursat list for which the integrals of minimal order are of the order less than or equal to two we presented a list of corresponding semi-discrete versions. The list contains new examples of non-autonomous Darboux integrable chains.
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