Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2011-03-26
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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