Geodesic
Multi-component Toda lattice in centro-affine ${\mathbb R}^n$
Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 3, pp. 347-360

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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.
Keywords: discrete moving frame, multi-component Toda lattices, Hamiltonian structures. 
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     author = {Xiaojuan Duan and Chuanzhong Li and Jing Ping Wang},
     title = {Multi-component {Toda} lattice in centro-affine ${\mathbb R}^n$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {347--360},
     publisher = {mathdoc},
     volume = {207},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_207_3_a1/}
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Xiaojuan Duan; Chuanzhong Li; Jing Ping Wang. Multi-component Toda lattice in centro-affine ${\mathbb R}^n$. Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 3, pp. 347-360. http://geodesic.mathdoc.fr/item/TMF_2021_207_3_a1/