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math-ph2007★ 2 cited
Multiscale expansion on the lattice and integrability of partial difference equations
Rafael Hernandez Heredero, Decio Levi, Matteo Petrera +1
We conjecture an integrability and linearizability test for dispersive Z^2-lattice equations by using a discrete multiscale analysis. The lowest order secularity conditions from th…
math-ph2007
Continuous Symmetries of the Lattice Potential KdV Equation
Decio Levi, Matteo Petrera
In this paper we present a set of results on the integration and on the symmetries of the lattice potential Korteweg-de Vries (lpKdV) equation. Using its associated spectral proble…