In this paper we summarize the results of our investigation of the moving localized structures in lattice like systems. Dynamics of discrete localized modes in cubic, cubic-quintic, saturable photorefractive lattice and in the Bose-Einstein condensate modelled by the nonpolynomial Schrödinger equation are considered in the framework of the Peierls-Nabarro barrier. Two approaches are numerically tested: free-energy approach and mapping analysis. We show that only the last one is appropriate.
|Title of host publication
|7th International Summer School/Conference "Let's Face Chaos Through Nonlinear Dynamics" - Dedicated to the 65th Birthday of Professor Giulio Casati
|Valery G. Romanovski, Marko Robnik
|American Institute of Physics Inc.
|Number of pages
|Published - 2008
|7th International Summer School/Conference "Let's Face Chaos Through Nonlinear Dynamics" - Maribor, Slovenia
Duration: 29 Jun 2008 → 13 Jul 2008
|AIP Conference Proceedings
|7th International Summer School/Conference "Let's Face Chaos Through Nonlinear Dynamics"
|29/06/08 → 13/07/08
- free energy
- mapping analysis
- the Peierls-Nabarro barrier