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

D. Levi
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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 the multiple--scale reduction of the lattice potential Korteweg--de Vries equation.

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D. Levi. 2005-05-31. Multiple-scale analysis of discrete nonlinear partial difference equations: the reduction of the lattice potential KdV. https://doi.org/10.1088/0305-4470%2F38%2F35%2F005

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