Kink Dynamics in a Lattice Model with Long-Range Interactions

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.

16 pages, 4 figures, to appear in J.Phys.A: Math Gen

References in corpus (2)

• Growth and decay of discrete nonlinear Schroedinger breathers interacting with internal modes or standing-wave phonons
• Dynamics of Lattice Kinks

Cited by in corpus (2)

• Soliton Dynamics in a 2D Lattice Model with Nonlinear Interactions
• Lattice Three-Dimensional Skyrmions Revisited