Volume 19, Issue 1, March 2012, Pages 1 - 15
The AKNS Hierarchy Revisited: A Vertex Operator Approach and its Lie-Algebraic Structure
Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, Newark, NJ 07102-1982, USA,firstname.lastname@example.org
Anatoliy K. Prykarpatsky
Department of Mining Geodesy and Environment Engineering, AGH University of Science and Technology, Krakow 30059, Poland
Department of Economic Cybernetics, Ivan Franko Pedagogical State University, Drohobych, Lviv Region, 82100, Ukraine,email@example.com,firstname.lastname@example.org
Received 22 August 2011, Accepted 23 September 2011, Available Online 20 September 2021.
- 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 -