On commuting flows of AKS hierarchy and twistor correspondence

Partha Guha

doi:10.1016/0393-0440(95)00056-9

On commuting flows of AKS hierarchy and twistor correspondence

Partha Guha

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The Adler-Kostant-Symes (AKS) scheme gives a geometrical method of construction of different integrable systems. In this paper we construct an AKS hierarchy, and we show that these commuting flows are reductions of self-dual Yang-Mills hierarchy.

Original language	British English
Pages (from-to)	207-217
Number of pages	11
Journal	Journal of Geometry and Physics
Volume	20
Issue number	2-3
DOIs	https://doi.org/10.1016/0393-0440(95)00056-9
State	Published - Oct 1996

Keywords

Adler-Kostant-Symes scheme
Dual Yang-Mills hierarchy
Integrable systems
Twistor correspondence

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10.1016/0393-0440(95)00056-9

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title = "On commuting flows of AKS hierarchy and twistor correspondence",

abstract = "The Adler-Kostant-Symes (AKS) scheme gives a geometrical method of construction of different integrable systems. In this paper we construct an AKS hierarchy, and we show that these commuting flows are reductions of self-dual Yang-Mills hierarchy.",

keywords = "Adler-Kostant-Symes scheme, Dual Yang-Mills hierarchy, Integrable systems, Twistor correspondence",

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KW - Adler-Kostant-Symes scheme

KW - Dual Yang-Mills hierarchy

KW - Integrable systems

KW - Twistor correspondence

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IS - 2-3

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On commuting flows of AKS hierarchy and twistor correspondence

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Keywords

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