# Multi-component Toda lattice in centro-affine $${\mathbb R}^n$$

Duan, Xiaojuan, Li, Chuanzhong, Wang, Jing Ping (2021) Multi-component Toda lattice in centro-affine $${\mathbb R}^n$$. Theoretical and Mathematical Physics, 207 (3). pp. 701-712. ISSN 0040-5779. (doi:10.1134/S0040577921060027) (KAR id:89031)

 PDF Author's Accepted Manuscript Language: English Download (392kB) Preview Preview This file may not be suitable for users of assistive technology. Request an accessible format Official URL:https://doi.org/10.1134/S0040577921060027

## Abstract

In this paper we use the group-based discrete moving frame method to study invariant evolutions in 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 hence establish their geometric realisations in centro-affine space.

Item Type: Article 10.1134/S0040577921060027 Q Science > QC Physics > QC20 Mathematical Physics Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science Jing Ping Wang 06 Jul 2021 08:57 UTC 09 Jul 2021 08:45 UTC https://kar.kent.ac.uk/id/eprint/89031 (The current URI for this page, for reference purposes) https://orcid.org/0000-0002-6874-5629