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arXiv 1106.0435nlin.SImath-phmath.MP
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关于非多重仿射一致绕立方格方程

On non-multiaffine consistent-around-the-cube lattice equations

Pavlos Kassotakis, Maciej Nieszporski

摘要:

本文证明了可积对合映射,由于它允许三个分离形式的积分,可以产生方程,这些方程在立方体周围是相容的,而不是文献[1,2]中假定的多仿射形式。这里讨论的晶格模型通过非局部变换(离散求积)与晶格势KdV方程相关。

英文摘要:

We show that integrable involutive maps, due to the fact they admit three integrals in separated form, can give rise to equations, which are consistent around the cube and which are not in the multiaffine form assumed in papers [1, 2]. Lattice models, which are discussed here, are related to the lattice potential KdV equation by nonlocal transformations (discrete quadratures).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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