Volume 23, Issue 1, January 2016, Pages 92 - 107
The Ablowitz–Ladik hierarchy integrability analysis revisited: the vertex operator solution representation structure
Authors
Yarema A. Prykarpatskyy
Department of Applied Mathematics, University of Agriculture, Balicka 253c, 30-198, Krakow, Poland; Institute of Mathematics at the NAS, Kyiv, Ukraine;
Department Mathematics, Ivan Franko Pedagogical State University, Drohobych, Lviv region, Ukraine,yarpry@gmail.com
Received 12 June 2015, Accepted 24 October 2015, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2016.1135644How to use a DOI?
- Keywords
- the Ablowitz–Ladik hierarchy; discrete Lax type integrability; Lie-algebraic approach; vertex operator structure
- Abstract
A regular gradient-holonomic approach to studying the Lax type integrability of the Ablowitz–Ladik hierarchy of nonlinear Lax type integrable discrete dynamical systems in the vertex operator representation is presented. The relationship to the Lie-algebraic integrability scheme is analyzed and the connection with the τ-function representation is discussed.
- Copyright
- © 2016 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 - Yarema A. Prykarpatskyy PY - 2021 DA - 2021/01/06 TI - The Ablowitz–Ladik hierarchy integrability analysis revisited: the vertex operator solution representation structure JO - Journal of Nonlinear Mathematical Physics SP - 92 EP - 107 VL - 23 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1135644 DO - 10.1080/14029251.2016.1135644 ID - Prykarpatskyy2021 ER -