The AKNS hierarchy revisited: A vertex operator approach and its lie-algebraic structure

Document Type

Article

Publication Date

3-1-2012

Abstract

A novel approach based upon vertex operator representation is devised to study the AKNS hierarchy. It is shown that this method reveals the remarkable properties of the AKNS hierarchy in relatively simple, rather natural and particularly effective ways. In addition, the connection of this vertex operator based approach with Lie-algebraic integrability schemes is analyzed and its relationship with τ-function representations is briefly discussed. © D. Blackmore and A. K. Prykarpatsky.

Identifier

84858830570 (Scopus)

Publication Title

Journal of Nonlinear Mathematical Physics

External Full Text Location

https://doi.org/10.1142/S1402925112500015

ISSN

14029251

Issue

1

Volume

19

Grant

CMMI — 1029809

Fund Ref

National Science Foundation

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