Gap Solitons in Periodic Discrete Nonlinear Schroedinger Equations

Details Gap Solitons in Periodic Discrete Nonlinear Schroedinger Equations Gap Solitons in Periodic Discrete Nonlinear Schroedinger Equations

2005-02-19

arxiv.org/abs/nlin/0502043v2

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1088/0951-7715/19/1/002

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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