Gap Solitons in Periodic Discrete Nonlinear Schrödinger Equations
نویسنده
چکیده
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. Mathematics subject classification: 35Q55, 35Q51, 39A12, 39A70, 78A40
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