Stability of discrete solitons in nonlinear Schrödinger lattices

@inproceedings{Pelinovsky2005StabilityOD,
  title={Stability of discrete solitons in nonlinear Schr{\"o}dinger lattices},
  author={Dmitry E Pelinovsky and Panayotis G. Kevrekidis and Dimitri J. Frantzeskakis},
  year={2005}
}
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

Citations

Publications citing this paper.
Showing 1-10 of 25 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 42 references

Wave transmission in nonlinear lattices

  • D. Hennig, G. Tsironis
  • Phys. Rep. 307
  • 1999
Highly Influential
4 Excerpts

Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

  • R. S. MacKay, S. Aubry
  • Nonlinearity 7
  • 1994
Highly Influential
4 Excerpts

Hamiltonian Hopf bifurcations in the discrete nonlinear Schrödinger equation

  • M. Johansson
  • J. Phys. A: Math. Gen. 37
  • 2004
3 Excerpts

Linear stability of perturbed Hamiltonian systems: theory and a case example

  • T. Kapitula, P. G. Kevrekidis
  • J. Phys. A: Math. Gen. 37
  • 2004
1 Excerpt

Similar Papers

Loading similar papers…