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Abstract: We study self-trapped localized nonlinear states in the form of truncatedBloch waves in one-dimensional optical lattices, which appear in the gaps ofthe linear bandgap spectrum. We demonstrate the existence of families of suchlocalized states which differ by the number of intensity peaks. These familiesdo not bifurcate from the band edge, and their power curves exhibit doublebranches. Linear stability analysis demonstrates that in deep latticepotentials the states corresponding to the lower branches are stable, whereasthose corresponding to the upper branches are unstable, independently of thenumber of peaks.



Author: Jiandong Wang, Jianke Yang, Tristram J. Alexander, Yuri S. Kivshar

Source: https://arxiv.org/



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