THE AKNS HIERARCHY REVISITED: A VERTEX OPERATOR APPROACH AND ITS LIE-ALGEBRAIC STRUCTURE: The AKNS Hierarchy Revisited

THE AKNS HIERARCHY REVISITED: A VERTEX OPERATOR APPROACH AND ITS LIE-ALGEBRAIC STRUCTURE: The AKNS Hierarchy Revisited

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...

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Veröffentlicht in:Journal of nonlinear mathematical physics 2012-03, Vol.19 (1), p.1250001-1-1250001-15
Hauptverfasser: Blackmore, Denis, PRYKARPATSKY, ANATOLIY K
Format: Artikel
Sprache:eng
Schlagworte:
Hierarchies
Joints
Mathematical analysis
Nonlinearity
Operators
Representations
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Zusammenfassung: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 tau -function representations is briefly discussed.
ISSN:1402-9251