Multiscale expansion of the lattice sine--Gordon equation
Mathematical Physics
2016-09-07 v1 math.MP
Abstract
We expand a discrete--time lattice sine--Gordon equation on multiple lattices and obtain the partial difference equation which governs its far field behaviour. Such reduction allow us to obtain a new completely discrete nonlinear Schr\"oedinger (NLS) type equation.
Keywords
Cite
@article{arxiv.math-ph/0511006,
title = {Multiscale expansion of the lattice sine--Gordon equation},
author = {Xiaoda Ji and Decio Levi and Matteo Petrera},
journal= {arXiv preprint arXiv:math-ph/0511006},
year = {2016}
}
Comments
8 pages, Proceedings of the International Conference on Difference Equations, Special Functions and Applications held in Munich, 2005