Volume 20, Issue 4, December 2013, Pages 495 - 513
Functional representation of the negative DNLS hierarchy
Authors
V.E. Vekslerchik
Usikov Institute for Radiophysics and Electronics 12, Proskura st., Kharkov, 61085, Ukraine.vekslerchik@yahoo.com
Received 28 July 2013, Accepted 24 September 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2013.868263How to use a DOI?
- Keywords
- derivative NLS hierarchy; negative flows; functional representation; Miwa's shifts; conservation laws; solitons
- Abstract
This paper is devoted to the negative flows of the derivative nonlinear Schrödinger hierarchy (DNLSH). The main result of this work is the functional representation of the extended DNLSH, composed of both positive (classical) and negative flows. We derive a finite set of functional equations, constructed by means of the Miwa's shifts, which contains all equations of the hierarchy. Using the obtained functional representation we convert the nonlocal equations of the negative subhierarchy into local ones of higher order, derive the generating function of the conservation laws and the N-soliton solutions for the extended DNLSH under non-vanishing boundary conditions.
- Copyright
- © 2013 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 - V.E. Vekslerchik PY - 2021 DA - 2021/01/06 TI - Functional representation of the negative DNLS hierarchy JO - Journal of Nonlinear Mathematical Physics SP - 495 EP - 513 VL - 20 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.868263 DO - 10.1080/14029251.2013.868263 ID - Vekslerchik2021 ER -