论文标题

天然差异不变和三阶非线性差分运算符的等效性

Natural differential invariants and equivalence of third order nonlinear differential operators

论文作者

Lychagin, Valentin, Yumaguzhin, Valeriy

论文摘要

我们对三维流形的三阶非线性差分运算符的理性自然差异不变性领域进行描述,并将其应用于此类操作员的等效问题。

We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of the third order on a two dimensional manifold and show their application to the equivalence problem of such operators.

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