We show that both the dKP hierarchy and its strict version can be extended to a wider class of deformations satisfying a larger set of Lax equations. We prove that both extended hierarchies have appropriate linearizations allowing a geometric construction of their solutions.

中文翻译：

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离散 KP 层次结构的扩展及其严格版本

我们表明，dKP 层次结构及其严格版本都可以扩展到更广泛的变形类别，以满足更大的 Lax 方程组。我们证明了两个扩展层次结构都具有适当的线性化，允许对其解决方案进行几何构造。