# Darboux transformation with dihedral reduction group

Mikhailov, Alexander V., Papamikos, Georgios, Wang, Jing Ping (2014) Darboux transformation with dihedral reduction group. Journal of Mathematical Physics, 55 (11). p. 113507. ISSN 0022-2488. (doi:10.1063/1.4901224)

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http://dx.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 10.1063/1.4901224 Projects 0 not found. Q ScienceQ Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations Faculties > Sciences > School of Mathematics Statistics and Actuarial Science Jing Ping Wang 20 Apr 2015 16:28 UTC 29 May 2019 14:26 UTC https://kar.kent.ac.uk/id/eprint/48013 (The current URI for this page, for reference purposes)