Kink dynamics in a lattice model with long-range interactions
Document Type
Article
Publication Date
5-25-2001
Abstract
This paper proposes a one-dimensional lattice model with long-range interactions which, in the continuum, keeps its nonlocal behaviour. In fact, the long-time evolution of the localized waves is governed by an asymptotic equation of the Benjamin-Ono type and allows the explicit construction of moving kinks on the lattice. The long-range particle interaction coefficients on the lattice are determined by the Benjamin-Ono equation.
Publication Title
Journal of Physics A: Mathematical and General
Recommended Citation
Ioannidou, T.,
Pouget, J.,
&
Aifantis, E.
(2001).
Kink dynamics in a lattice model with long-range interactions.
Journal of Physics A: Mathematical and General,
34(20), 4269-4280.
http://doi.org/10.1088/0305-4470/34/20/301
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/9592