Multiscale expansion of the lattice sine--Gordon equation

Details Multiscale expansion of the lattice sine--Gordon equation Multiscale expansion of the lattice sine--Gordon equation

2005-11-02

arxiv.org/abs/math-ph/0511006v1

Physics

Mathematical Physics

8 pages, Proceedings of the International Conference on Difference Equations, Special Functions and Applications held in Munic

Scientific paper

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.

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