@phdthesis{gubbiotti_integrability_2017,
	address = {Roma},
	type = {{PhD}},
	title = {Integrability properties of quad equations consistent on the cube},
	url = {http://www.matfis.uniroma3.it/dottorato/TESI/gubbiotti/Gubbiotti_PhD_Thesis.pdf},
	abstract = {In this Thesis we present some results obtained recently about the integrability properties of the multi-affine partial difference equations Consistent  Around  the  Cube  classified  by  R.  Boll.  We  review  some known result and we present for the first time the non-autonomous form on the lattice of some of these equations. Using the so-called Algebraic Entropy test we conjecture that two sub-families of the equa- tions found by Boll, namely the trapezoidal H4 equations and the H6 equations are linearizable. By computing the Generalized Symmetries of the trapezoidal H4 equations and the H6 equations we propose a non-autonomous generalization of the QV equation. Finally we prove the linearizability of these equation by showing that they are Darboux integrable equations and we show how to use this property in order to obtain general solutions.},
	language = {en},
	school = {Universita degli Studi},
	author = {Gubbiotti, Giorgio},
	year = {2017},
	keywords = {Algebraic entropy, Consistency around the cube, Difference equations, Integrability, uses sympy},
}

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