Kink Dynamics in a Lattice Model with Long-Range Interactions
可精确求解与可积系统
2009-11-07 v1 高能物理 - 理论
摘要
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.
引用
@article{arxiv.nlin/0104053,
title = {Kink Dynamics in a Lattice Model with Long-Range Interactions},
author = {T. Ioannidou and J. Pouget and E. Aifantis},
journal= {arXiv preprint arXiv:nlin/0104053},
year = {2009}
}
备注
16 pages, 4 figures, to appear in J.Phys.A: Math Gen