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

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

2005-05-31

arxiv.org/abs/nlin/0505061v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages. 1 figure

Scientific paper

10.1088/0305-4470/38/35/005

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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