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Algebraic entropy, symmetries and linearization of quad equations consistent on the cube
- Publication Year :
- 2016
-
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 B\"acklund transformations and Lax pairs. By carrying out the algebraic entropy calculations we show that the $H^4$ trapezoidal and the $H^6$ families are linearizable and in a few examples we show how we can effectively linearize them.
- Subjects :
- Pure mathematics
Nonlinear Sciences - Exactly Solvable and Integrable Systems
FOS: Physical sciences
Statistical and Nonlinear Physics
Mathematical Physics (math-ph)
Partial difference equations
Nonlinear system
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Linearization
Homogeneous space
Algebraic number
Exactly Solvable and Integrable Systems (nlin.SI)
Mathematical Physics
Mathematics
Statistical and Nonlinear Physic
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....9bcf17f85e6e7df2bf293f16f915e0e7