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.

Bibliographische Detailangaben

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
Online-Zugang:	Volltext
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