Gap Solitons in Periodic Discrete Nonlinear Schroedinger Equations

A. Pankov

doi:10.1088/0951-7715/19/1/002

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arXiv · nlin/0502043

Gap Solitons in Periodic Discrete Nonlinear Schroedinger Equations

A. Pankov

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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.

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A. Pankov. 2005-03-13. Gap Solitons in Periodic Discrete Nonlinear Schroedinger Equations. https://doi.org/10.1088/0951-7715%2F19%2F1%2F002

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