On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation

@inproceedings{Alfimov2004OnCO,
  title={On classification of intrinsic localized modes for the discrete nonlinear Schr{\"o}dinger equation},
  author={Georgy Leonidovich Alfimov and Valeriy A. Brazhnyi and Vladimir V. Konotop},
  year={2004}
}
Abstract We consider localized modes (discrete breathers) of the discrete nonlinear Schrodinger equation i(dψn/dt)=ψn+1+ψn−1−2ψn+σ|ψn|2ψn, σ=±1, n∈ Z . We study the diversity of the steady-state solutions of the form ψn(t)=eiωtvn and the intervals of the frequency, ω, of their existence. The base for the analysis is provided by the anticontinuous limit (ω negative and large enough) where all the solutions can be coded by the sequences of three symbols “−”, “0” and “+”. Using dynamical systems… CONTINUE READING

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