Abstract: We investigate the properties of nonlinear excitations in different types of soliton carrying systems with long-range dispersive interactions. We show that length-scale competition in such systems, universally results: in a multi-component structure of nonlinear excitations which may 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 of frequency in nonlinear Schrodinger models).

Keywords: long-range interactions; anharmonic chains; soliton dynamics; nonlocal interactions; localized modes; dispersion; breathers; lattices

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