• Corpus ID: 235436211

On Soliton Resolution for a Lattice

  title={On Soliton Resolution for a Lattice},
  author={Nicholas Hatzizisis and Spyridon Kamvissis},
The soliton resolution conjecture for evolution PDEs of dispersive type states (vaguely) that generic initial data of finite energy give rise asymptotically to a set of receding solitons and a decaying background radiation. In this letter, we investigate a possible extension of this conjecture to discrete lattices of the Fermi-Pasta-Ulam-Tsingou type (rather than PDEs) in two cases; the case with initial data of finite energy and a more general case with initial data that are a short range… 


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