On a description of the Toda hierarchy using cocycle maps

On a description of the Toda hierarchy using cocycle maps

The Toda hierarchy refers to a family of integrable flows on Jacobi operators that have many applications in mathematics and physics. We demonstrate carefully that an alternative characterization of the Toda hierarchy using cocycle maps is equivalent to the traditional approach using Lax pairs.

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Veröffentlicht in:Linear algebra and its applications 2018-07, Vol.549, p.12-29
1. Verfasser: Ong, Darren C.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Cocycle dynamics
Fluidity
Jacobi operators
Linear algebra
Numerical analysis
Operators (mathematics)
Polynomials
Toda flows
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Beschreibung
Zusammenfassung:The Toda hierarchy refers to a family of integrable flows on Jacobi operators that have many applications in mathematics and physics. We demonstrate carefully that an alternative characterization of the Toda hierarchy using cocycle maps is equivalent to the traditional approach using Lax pairs.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2018.03.028