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We discuss the non–autonomous nonlinear partial difference equations belonging to Boll classification of quad graph equations consistent around the cube. We show how starting from the compatible equations on a… Click to show full abstract
We discuss the non–autonomous nonlinear partial difference equations belonging to Boll classification of quad graph equations consistent around the cube. We show how starting from the compatible equations on a cell we can construct the lattice equations, its Bäcklund transformations and Lax pairs. By carrying out the algebraic entropy calculations we show that the H4 trapezoidal and the H6 families are linearizable and in a few examples we show how we can effectively linearize them.
Keywords:
equations consistent;
algebraic entropy;
symmetries linearization;
entropy symmetries;
cube;
linearization quad
Journal Title: Journal of Nonlinear Mathematical Physics
Year Published: 2021
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Journal Title: Journal of Nonlinear Mathematical Physics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!