Event
Decio Levi, Universit脿 Roma Tre
Tuesday, November 8, 2016 15:30to16:30
Room 4336, Pavillon Andr茅-Aisenstadt, 2920, Chemin de la tour, 5th floor, Montreal, QC, H3T 1J4, CA
Classification of five-point differential-difference equations.
Using the generalized symmetry method, we carry out, up to autonomous point transformations, the classification of integrable equations of a subclass of the autonomous five-point differential-difference equations. This subclass includes such well-known examples as the Itoh-Narita-Bogoyavlensky and the discrete Sawada-Kotera equations. The resulting list contains 17 equations one of which seems to be new. We have also found non-point transformations relating most of the resulting equations among themselves.