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.
Titolo: | Multiple-scale analysis of discrete nonlinear partial difference equations: the reduction of the lattice potential KdV |
Autori: | |
Data di pubblicazione: | 2005 |
Rivista: | |
Citazione: | 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. |
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. |
Handle: | http://hdl.handle.net/11590/136944 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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