Gap Solitons in Periodic Discrete Nonlinear Schroedinger Equations
classification
🌊 nlin.PS
keywords
periodicapproximationscombinationcubicdiscretednlsequationsexponentially
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It is shown that the periodic DNLS, with cubic nonlinearity, possesses gap solutions, i. e. standing waves, with the frequency in a spectral gap, that are exponentially localized in spatial variable. The proof is based on the linking theorem in combination with periodic approximations.
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