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

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