Standing localized modes in nonlinear lattices.
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...…and Skinner (1991a,b), Miranda et al. (1992) and Y. Chen and Atai (1992)], dark solitons and dark-profile modes in discrete lattices (Kivshar, 1993a; Kivshar et al., 1994a,c), dark gap solitons in the systems with periodically varying parameters such as optical waveguides with grating [e.g., Feng…...
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...We follow the original paper by Kivshar et al. (1994a)....
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...Applying the same reasoning as in the case of the bright soliton, we obtain the following result (Kivshar et al., 1994a) SdX2T"2D u2 0 P `= ~= Ka(/) v z !b(/) v tK 2 dt , (3.38) where, as above, we have assumed that the field dv is a stochastic complex noise with the only nonzero…...
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...(3.40) Validity of this result was discussed by Kivshar et al. (1994a)....
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