Blog
About

  • Record: found
  • Abstract: found
  • Article: found
Is Open Access

Global bifurcation of traveling waves in discrete nonlinear Schr\"odinger equations

Preprint

Read this article at

Bookmark
      There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

      Abstract

      We consider discrete nonlinear Schr\"odinger equations of n sites with periodic boundary conditions. These equations have n branches of standing waves that bifurcate from zero. Traveling waves appear as a symmetry-breaking from the standing waves for different amplitudes. The bifurcation is proved using the global Rabinowitz alternative in subspaces of symmetric functions. As examples, we present applications to the Schr\"odinger and Saturable lattices.

      Related collections

      Author and article information

      Journal
      2015-08-04
      2016-04-26
      1508.00832

      http://arxiv.org/licenses/nonexclusive-distrib/1.0/

      Custom metadata
      math.DS

      Differential equations & Dynamical systems

      Comments

      Comment on this article