On a discrete analog of the Tzitzeica equation
Exactly Solvable and Integrable Systems
2011-03-29 v1 Differential Geometry
Abstract
A discrete analog of the Tzitzeica equation is found in the form of quad-equation. Its continuous symmetry is an inhomogeneous Narita--Bogoyavlensky type lattice equation which defines a discretization of the Sawada--Kotera equation. The integrability of these discretizations is proven by construction of the Lax representations.
Keywords
Cite
@article{arxiv.1103.5139,
title = {On a discrete analog of the Tzitzeica equation},
author = {V. E. Adler},
journal= {arXiv preprint arXiv:1103.5139},
year = {2011}
}
Comments
13 pp