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Multi-component structure of nonlinear excitations in systems with length-scale competition

arXiv:cond-mat/0012048 · doi:10.1007/s100510170300

Abstract

We investigate the properties of nonlinear excitations in different types of soliton bearing systems with long-range dispersive interaction. We show that length-scale competition in such systems universally results in a multi-component structure of nonlinear excitations and can lead to a new type of multistability: coexistence of different nonlinear excitations at the same value of the spectral parameter (i.e., velocity in the case of anharmonic lattices or frequency in nonlinear Schroedinger models).

9 pages (LaTeX) with 8 figures (EPS)