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

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

2000-12-04

arxiv.org/abs/cond-mat/0012048v1

Physics

Condensed Matter

Soft Condensed Matter

9 pages (LaTeX) with 8 figures (EPS)

Scientific paper

10.1007/s100510170300

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).

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