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Darboux transformation with dihedral reduction group

Mikhailov, AV and Papamikos, G and Wang, JP (2014) 'Darboux transformation with dihedral reduction group.' Journal of Mathematical Physics, 55 (11). ISSN 0022-2488

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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
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Elements
Date Deposited: 20 Jan 2020 14:23
Last Modified: 20 Jan 2020 15:15
URI: http://repository.essex.ac.uk/id/eprint/26521

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