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

  • P.L. Christiansen
  • Y.B. Gaididei
  • F.G. Mertens
  • S.F. Mingaleev

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).

PACS. 05.45.Yv Solitons – 02.70.Hm Spectral methods – 42.65.Pc Optical bistability, multistability, and switching 

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Copyright information

© EDP Sciences, Springer-Verlag 2001

Authors and Affiliations

  • P.L. Christiansen
    • 1
  • Y.B. Gaididei
    • 2
  • F.G. Mertens
    • 3
  • S.F. Mingaleev
    • 2
  1. 1.Department of Mathematical Modelling, The Technical University of Denmark, 2800 Lyngby, DenmarkDK
  2. 2.Bogolyubov Institute for Theoretical Physics, 03143 Kiev, UkraineUA
  3. 3.Physikalisches Institut, Universität Bayreuth, 95440 Bayreuth, GermanyDE

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