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
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).
PACS: 05.45.Yv – Solitons / 02.70.Hm – Spectral methods / 42.65.Pc – Optical bistability, multistability, and switching
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
