On a discrete analog of the Tzitzeica equation

Details On a discrete analog of the Tzitzeica equation On a discrete analog of the Tzitzeica equation

2011-03-26

arxiv.org/abs/1103.5139v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pp

Scientific paper

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.

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