Eur. Phys. J. B 19, 545-553 (2001)
https://doi.org/10.1007/s100510170300

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

¹ Department of Mathematical Modelling, The Technical University of Denmark, 2800 Lyngby, Denmark
² Bogolyubov Institute for Theoretical Physics, 03143 Kiev, Ukraine
³ Physikalisches Institut, Universität Bayreuth, 95440 Bayreuth, Germany

Corresponding author: ^a smino@bitp.kiev.ua

Received: 31 August 2000
Revised: 14 December 2000
Published online: 15 February 2001

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 or frequency in nonlinear Schrödinger models).