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On Construction of Darboux integrable discrete models
Reports on Mathematical Physics ( IF 0.8 ) Pub Date : 2023-12-30 , DOI: 10.1016/s0034-4877(23)00080-0 Kostyantyn Zheltukhin , Natalya Zheltukhina
中文翻译:
达布可积离散模型的构建
更新日期:2024-01-01
Reports on Mathematical Physics ( IF 0.8 ) Pub Date : 2023-12-30 , DOI: 10.1016/s0034-4877(23)00080-0 Kostyantyn Zheltukhin , Natalya Zheltukhina
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.
中文翻译:
达布可积离散模型的构建
考虑了达布可积方程的离散化问题。给定一个达布可积连续方程,可以使用该连续方程的积分获得一个达布可积微分离散方程。在本文中,微分离散方程的离散化是使用相应的特征代数来完成的。获得了可积离散方程的新例子。