Stability of discrete solitons in nonlinear Schrödinger lattices

  title={Stability of discrete solitons in nonlinear Schr{\"o}dinger lattices},
  author={Dmitry E Pelinovsky and Panayotis G. Kevrekidis and Dimitri J. Frantzeskakis},
We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrödinger (NLS) lattice. The discrete soliton in the anti-continuum limit represents an arbitrary finite superposition of in-phase or anti-phase excited nodes, separated by an arbitrary sequence of empty nodes. By using stability analysis, we prove that the discrete solitons are all unstable near the anti-continuum limit, except for the solitons, which consist of alternating anti-phase… CONTINUE READING


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