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

Denis Blackmore, Anatoliy K. Prykarpatsky

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageEnglish (US)
Article number1250001
JournalJournal of Nonlinear Mathematical Physics
Volume19
Issue number1
DOIs
StatePublished - Mar 2012

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • AKNS hierarchy
  • Lax integrability
  • Lie-algebraic approach
  • vertex operators

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