Kink Dynamics in a Lattice Model with Long-Range Interactions

Details Kink Dynamics in a Lattice Model with Long-Range Interactions Kink Dynamics in a Lattice Model with Long-Range Interactions

2001-04-23

arxiv.org/abs/nlin/0104053v1

J.Phys. A34 (2001) 4269-4280

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

10.1088/0305-4470/34/20/301

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.

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