We consider multiple lattices and functions defined on them. We introduce slow varying conditions for functions defined on the,lattice and express the variation of a function in terms of an asymptotic expansion with respect to the slow varying lattices. We use these results to perform multiple-scale reduction of the lattice potential Korteweg-de Vries equation.

Levi, D. (2005). Multiple-scale analysis of discrete nonlinear partial difference equations: the reduction of the lattice potential KdV. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 38(35), 7677-7689 [10.1088/0305-4470/38/35/005].

Multiple-scale analysis of discrete nonlinear partial difference equations: the reduction of the lattice potential KdV

LEVI, Decio
2005-01-01

Abstract

We consider multiple lattices and functions defined on them. We introduce slow varying conditions for functions defined on the,lattice and express the variation of a function in terms of an asymptotic expansion with respect to the slow varying lattices. We use these results to perform multiple-scale reduction of the lattice potential Korteweg-de Vries equation.
Levi, D. (2005). Multiple-scale analysis of discrete nonlinear partial difference equations: the reduction of the lattice potential KdV. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 38(35), 7677-7689 [10.1088/0305-4470/38/35/005].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/136944
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