论文标题

在离散的DARBOUX集成方程式的构建中

On construction of discrete Darboux integrable equations

论文作者

Zheltukhin, Kostyantyn, Zheltukhina, Natalya

论文摘要

考虑了Darboux积分方程的离散问题。给定DARBOUX可集成的连续方程,可以使用连续方程的积分来获得DARBOUX的darboux集成微分方程方程。在本文中,使用相应的特征代数进行了差分差异方程的离散化。获得了可集成离散方程的新示例。

The problem of discretization of Darboux integrable equations is considered. Given a Darboux integrable continuous equation, one can obtain a Darboux integrable differential-discrete equation, using the integrals of the continuous equation. In the present paper, the discretization of the differential-discrete equations is done using the corresponding characteristic algebras. New examples of integrable discrete equations are obtained.

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