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Multi-component Toda lattice in centro-affine $${\mathbb R}^n$$
Theoretical and Mathematical Physics ( IF 1.0 ) Pub Date : 2021-06-28 , DOI: 10.1134/s0040577921060027
Xiaojuan Duan , Chuanzhong Li , Jing Ping Wang

Abstract

We use the group-based discrete moving frame method to study invariant evolutions in a \(n\)-dimensional centro-affine space. We derive the induced integrable equations for invariants, which can be transformed to local and nonlocal multi-component Toda lattices under a Miura transformation, and thus establish their geometric realizations in centro-affine space.



中文翻译:

中心仿射中的多分量 Toda 格 $${\mathbb R}^n$$

摘要

我们使用基于群的离散移动框架方法来研究\(n\)维中心仿射空间中的不变演化。我们推导出不变量的诱导可积方程,这些方程可以在 Miura 变换下转换为局部和非局部多分量 Toda 格,从而在中心仿射空间中建立它们的几何实现。

更新日期:2021-06-29
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