Mikhailov, Alexander V and Papamikos, Georgios and Wang, Jing Ping (2014) Darboux transformation with dihedral reduction group. Journal of Mathematical Physics, 55 (11). p. 113507. DOI https://doi.org/10.1063/1.4901224
Mikhailov, Alexander V and Papamikos, Georgios and Wang, Jing Ping (2014) Darboux transformation with dihedral reduction group. Journal of Mathematical Physics, 55 (11). p. 113507. DOI https://doi.org/10.1063/1.4901224
Mikhailov, Alexander V and Papamikos, Georgios and Wang, Jing Ping (2014) Darboux transformation with dihedral reduction group. Journal of Mathematical Physics, 55 (11). p. 113507. DOI https://doi.org/10.1063/1.4901224
Abstract
We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generalisation of the periodic Volterra lattice. The resulting Bäcklund 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | nlin.SI |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 20 Jan 2020 14:23 |
| Last Modified: | 30 Oct 2024 16:32 |
| URI: | http://repository.essex.ac.uk/id/eprint/26521 |
Available files
Filename: darbouxD2.pdf