46
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • 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

          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
          Article
          1508.00832
          2fd5f591-055f-40ce-b5ce-ef38fb7b6bf8

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

          History
          Custom metadata
          math.DS

          Differential equations & Dynamical systems
          Differential equations & Dynamical systems

          Comments

          Comment on this article