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• W2171148629 endingPage "1786" @default.
• W2171148629 startingPage "1786" @default.
• W2171148629 abstract "It is commonly known that stable bright solitons in periodic potentials, which represent gratings in photonics/plasmonics, or optical lattices in quantum gases, exist either in the spectral semi-infinite gap (SIG) or in finite bandgaps. Using numerical methods, we demonstrate that, under the action of the cubic self-focusing nonlinearity, defects in the form of holes in two-dimensional (2D) lattices support continuous families of 2D solitons textit{embedded} into the first two Bloch bands of the respective linear spectrum, where solitons normally do not exist. The two families of the textit{embedded defect solitons} (EDSs) are found to be continuously linked by the branch of textit{gap defect solitons} (GDSs) populating the first finite bandgap. Further, the EDS branch traversing the first band links the GDS family with the branch of regular defect-supported solitons populating the SIG. Thus, we construct a continuous chain of regular, embedded, and gap-mode solitons (superfamily) threading the entire bandgap structure considered here. The EDSs are stable in the first Bloch band, and partly stable in the second. They exist with the norm exceeding a minimum value, hence they do not originate from linear defect modes. Further, we demonstrate that double, triple and quadruple lattice defects support stable dipole-mode solitons and vortices." @default.
• W2171148629 created "2016-06-24" @default.
• W2171148629 creator A5017157520 @default.
• W2171148629 creator A5090892882 @default.
• W2171148629 date "2013-06-05" @default.
• W2171148629 modified "2023-09-26" @default.
• W2171148629 title "Two-dimensional intraband solitons in lattice potentials with local defects and self-focusing nonlinearity" @default.
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