Darboux transformation with Dihedral reduction group
Exactly Solvable and Integrable Systems
2015-06-18 v1
Abstract
We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generalisation of the periodic Volterra lattice. The resulting Backlund transformation can be viewed as a nonevolutionary integrable differential difference equation. We also find its generalised symmetry and the Lax representation for this symmetry. Using formal diagonalisation of the Darboux matrix we obtain local conservation laws of the system.
Keywords
Cite
@article{arxiv.1402.5660,
title = {Darboux transformation with Dihedral reduction group},
author = {Alexander V. Mikhailov and Georgios Papamikos and Jing Ping Wang},
journal= {arXiv preprint arXiv:1402.5660},
year = {2015}
}