Algebraic entropy,symmetries and linearization of quad equations consistent on the cube |
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Authors: | G Gubbiotti C Scimiterna D Levi |
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Institution: | Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre, e Sezione INFN di Roma Tre, Via della Vasca Navale 84, 00146 Roma, Italy |
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Abstract: | We discuss the non–autonomous nonlinear partial difference equations belonging to Boll classi?cation 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. |
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