Перегляд за автором "Levi, D."

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C-Integrability Test for Discrete Equations via Multiple Scale Expansions

Scimiterna, C.; Levi, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)

In this paper, we are extending the well-known integrability theorems obtained by multiple scale techniques to the case of linearizable difference equations. As an example, we apply the theory to the case of a differenti ...
Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations

Levi, D.; Scimiterna, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)

In this paper we propose some linearizability tests of partial difference equations on a quad-graph given by one point, two points and generalized Hopf-Cole transformations. We apply the so obtained tests to a set of ...
On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations

Levi, D.; Petrera, M.; Scimiterna, C.; Yamilov, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)

We construct Miura transformations mapping the scalar spectral problems of the integrable lattice equations belonging to the Adler-Bobenko-Suris (ABS) list into the discrete Schrödinger spectral problem associated with ...
Structure Preserving Discretizations of the Liouville Equation and their Numerical Tests

Levi, D.; Martina, L.; Winternitz, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)

The main purpose of this article is to show how symmetry structures in partial differential equations can be preserved in a discrete world and reflected in difference schemes. Three different structure preserving discretizations ...
Symmetries of the Continuous and Discrete Krichever-Novikov Equation

Levi, D.; Winternitz, P.; Yamilov, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)

A symmetry classification is performed for a class of differential-difference equations depending on 9 parameters. A 6-parameter subclass of these equations is an integrable discretization of the Krichever-Novikov equation. ...

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Перегляд за автором "Levi, D."

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