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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). Article Number 113507. ISSN 0022-2488. (doi:10.1063/1.4901224) (KAR id:48013)


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
DOI/Identification number: 10.1063/1.4901224
Projects: Structure of partial difference equations with continuous symmetries and conservation laws
Subjects: Q Science
Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders: Organisations -1 not found.
Depositing User: Jing Ping Wang
Date Deposited: 20 Apr 2015 16:28 UTC
Last Modified: 08 Dec 2022 21:32 UTC
Resource URI: (The current URI for this page, for reference purposes)

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