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

D Levi
2005 Journal of Physics A: Mathematical and General  
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.
doi:10.1088/0305-4470/38/35/005 fatcat:6qw3abiazvcjzfb7pvb5s7hwh4