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

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)

Cited by in corpus (5)

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• Compactlike discrete breathers in systems with nonlinear and nonlocal dispersive terms
• Discrete peakons
• Long-range effects on superdiffusive solitons in anharmonic chains
• Thermal diffusion of solitons on anharmonic chains with long-range coupling