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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). p. 113507. ISSN 0022-2488. (doi:10.1063/1.4901224)


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: Projects 0 not found.
Subjects: Q Science
Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Jing Ping Wang
Date Deposited: 20 Apr 2015 16:28 UTC
Last Modified: 29 May 2019 14:26 UTC
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