The AKNS Hierarchy Revisited: A Vertex Operator Approach and its Lie-Algebraic Structure
- 10.1142/S1402925112500015How to use a DOI?
- AKNS hierarchy; Lax integrability; Lie-algebraic approach; vertex operators
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.
- © 2012 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Denis Blackmore AU - Anatoliy K. Prykarpatsky PY - 2021 DA - 2021/09/20 TI - The AKNS Hierarchy Revisited: A Vertex Operator Approach and its Lie-Algebraic Structure JO - Journal of Nonlinear Mathematical Physics SP - 1 EP - 15 VL - 19 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112500015 DO - 10.1142/S1402925112500015 ID - Blackmore2021 ER -