05-73 A. Pankov

Gap Solitons in Periodic Discrete Nonlinear Schroedinger Equations (39K, LaTeX 2e ) Feb 19, 05

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Abstract. 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.

Files: 05-73.src( 05-73.keywords , dnls.tex )