2015/10/06 by G. Gubbiotti, Giorgio Gubbiotti, C. Scimiterna +5
Mathematics · Physics and Astronomy · #37K10 #39A06 #39AXX #70G65 #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.MP #msc:37K10 #msc:39A06 #msc:39AXX #msc:70G65 #nlin.SI
paper · pdf · doi:10.48550/arxiv.1510.01527
arXiv admin note: text overlap with arXiv:1311.2406 by other authors
arxiv created 2015/10/06 · openalex publication_date 2015/10/06 · arxiv updated 2015/10/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We discuss the linearization of a non-autonomous nonlinear partial difference equation belonging to the Boll classification of quad-graph equations consistent around the cube. We show that its Lax pair is fake. We present its generalized symmetries which turn out to be non-autonomous and depending on an arbitrary function of the dependent variables defined in two lattice points. These generalized symmetries are differential difference equations which, in some case, admit peculiar Bäcklund transformations.