Volume 26, Issue 2, March 2019, Pages 294 - 312
N = 2 Supercomplexification of the Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt Equations
Authors
Ziemowit Popowicz
Institute of Theoretical Physics, University of Wrocław, Wrocław pl. M. Borna 9, 50-204 Wrocław Poland,ziemek@ift.uni.wroc.pl
Received 13 September 2018, Accepted 18 December 2018, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2019.1591732How to use a DOI?
- Keywords
- suoersymnmetry; bi-Hamiltonian; Lax representation
- Abstract
The supercomplexification is a special method of N = 2 supersymmetrization of the integrable equations in which the bosonic sector can be reduced to the complex version of these equations. The N = 2 supercomplex Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt equations are defined and investigated. The common attribute of the supercomplex equations is appearance of the odd Hamiltonian structures and super-fermionic conservation laws. The odd bi-Hamiltonian structure, Lax representation and superfermionic conserved currents for new N = 2 supersymmetric Korteweg-de Vries equation and for Sawada-Kotera one, are given.
- Copyright
- © 2019 The Authors. Published by Atlantis 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/).
Download article (PDF)
View full text (HTML)
Cite this article
TY - JOUR AU - Ziemowit Popowicz PY - 2021 DA - 2021/01/06 TI - N = 2 Supercomplexification of the Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt Equations JO - Journal of Nonlinear Mathematical Physics SP - 294 EP - 312 VL - 26 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2019.1591732 DO - 10.1080/14029251.2019.1591732 ID - Popowicz2021 ER -