2002/11/26 by T. Ioannidou, T Ioannidou, J. Pouget +3 · 1 citation
Materials Science · Physics and Astronomy · #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlocal and gradient elasticity in micro/nano structures #cond-mat #hep-th #nlin.SI
paper · pdf · doi:10.1088/0305-4470/36/3/304
published as J.Phys.A36:643-652,2003 · 13 pages, 5 Figures, To appear in Journal of Physics A: Mathematical and General
arxiv created 2002/11/26 · openalex publication_date 2003/01/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
This paper is concerned with a lattice model which is suited to square–rectangle transformations characterized by two strain components. The microscopic model involves nonlinear and competing interactions, which play a key role in the stability of soliton solutions and emerge from interactions as a function of particle pairs and noncentral type or bending forces. Special attention is devoted to the continuum approximation of the two-dimensional discrete system with the view of including the leading discreteness effects at the continuum description. The long-time evolution of the localized structures is governed by an asymptotic integrable equation of the Kadomtsev–Petviashvili I type which allows the explicit construction of moving multi-solitons on the lattice. Numerical simulation performed at the discrete system investigates the stability and dynamics of the multi-soliton in the lattice space.