WIAS Preprint No. 1030, (2005)

On the approximation of periodic traveling waves for the nonlinear atomic chain


  • Dreyer, Wolfgang
  • Herrmann, Michael

2010 Mathematics Subject Classification

  • 34K07 34K28 37J45


  • atomic chain, periodic traveling waves


We study a scheme from citeFV99, which allows to approximate periodic traveling waves in the nonlinear atomic chain with nearest neighbour interactions. We prove a compactness result for this scheme, and derive some generalizations. Moreover, we discuss the thermodynamic properties of traveling waves.

Download Documents