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pro vyhledávání: '"Scimiterna, C."'
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 w
Externí odkaz:
http://arxiv.org/abs/1510.01527
In this paper we discuss the integrability properties of a nonlinear partial difference equation on the square obtained by the multiple scale integrability test from a class of multilinear dispersive equations defined on a four points lattice.
Externí odkaz:
http://arxiv.org/abs/1401.5691
In this article we present the results obtained applying the multiple scale expansion up to the order $\varepsilon^6$ to a dispersive multilinear class of equations on a square lattice depending on 13 parameters. We show that the integrability condit
Externí odkaz:
http://arxiv.org/abs/1311.1905
Autor:
Levi, D., Scimiterna, C.
We provide conditions for a lattice scheme defined on a four points lattice to be linearizable by a point transformation. We apply the obtained conditions to a symmetry preserving difference scheme for the potential Burgers introduced by Dorodnitsyn
Externí odkaz:
http://arxiv.org/abs/1301.0732
In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic solution. We show that the A_1, A_2 and A_3 linearizability conditions
Externí odkaz:
http://arxiv.org/abs/1011.0141
Autor:
Scimiterna, C., Levi, D.
In this article we discuss a series of models introduced by Barashenkov, Oxtoby and Pelinovsky to describe some discrete approximations to the \phi^4 theory which preserve travelling kink solutions. We show, by applying the multiple scale test that t
Externí odkaz:
http://arxiv.org/abs/1011.0068
We use a discrete multiscale analysis to study the asymptotic integrability of differential-difference equations. In particular, we show that multiscale perturbation techniques provide an analytic tool to derive necessary integrability conditions for
Externí odkaz:
http://arxiv.org/abs/0903.3418
Akademický článek
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In this paper we construct the general solutions of two families of quad-equations, namely the trapezoidal H4 equations and the H6 equations. These solutions are obtained exploiting the properties of the first integrals in the Darboux sense, which we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3668::c17c1ad26a22a149885f977144d9682b
https://hdl.handle.net/11590/365890
https://hdl.handle.net/11590/365890
Autor:
Gubbiotti, G. gubbiotti@mat.uniroma3.it, Scimiterna, C. scimiterna@fis.uniroma3.it, Levi, D. decio.levi@roma3.infn.it
Publikováno v:
Theoretical & Mathematical Physics. Oct2016, Vol. 189 Issue 1, p1459-1471. 13p.