Volume 19, Issue 3, September 2012, Pages 373 - 390
Geometry of the Recursion Operators for the GMV System
Authors
A. B. Yanovski
Department of Mathematics & Applied Mathematics, University of Cape Town, Rondebosch, Cape Town 7700, South Africa,Alexandar.Ianovsky@uct.ac.za
G. Vilasi
Dipartimento di Fisica, Università degli Studi di Salerno, INFN, Sezione di Napoli-GC Salerno, Via Ponte Don Melillo, Fisciano (Salerno) 84084, Italy,vilasi@sa.infn.it
Received 29 March 2012, Accepted 29 April 2012, Available Online 20 September 2012.
- DOI
- 10.1142/S1402925112500234How to use a DOI?
- Keywords
- Lax representation; recursion operators; Nijenhuis tensors
- Abstract
We consider the Recursion Operator approach to the soliton equations related to a auxiliary linear system introduced recently by Gerdjikov, Mikhailov and Valchev (GMV system) and their interpretation as dual of Nijenhuis tensors on the manifold of potentials.
- Copyright
- © 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 - A. B. Yanovski AU - G. Vilasi PY - 2012 DA - 2012/09/20 TI - Geometry of the Recursion Operators for the GMV System JO - Journal of Nonlinear Mathematical Physics SP - 373 EP - 390 VL - 19 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112500234 DO - 10.1142/S1402925112500234 ID - Yanovski2012 ER -