Stability of strongly localized excitations in discrete media with cubic nonlinearity
S. A. DarmanyanInstitute of Spectroscopy, Russian Academy of Sciences, 142092, Troitsk, Moscow Region, RussiaA. KobyakovInstitute of Spectroscopy, Russian Academy of Sciences, 142092, Troitsk, Moscow Region, RussiaF. LedererInstitute of Solid State Theory and Theoretical Optics, Friedrich-Schiller-Universität Jena, 07743, Jena, Germany
1998en
ABI
Аннотация
By using a linear analysis it is analytically shown that the stability of strongly localized modes depends on their symmetry, the sign of nonlinearity, and the degree of localization. The existence of a stable, bright, even mode of the discrete nonlinear Schrödinger equation is demonstrated and confirmed by direct numerical simulations. Possible applications to all-optical switching are discussed.
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