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Localized Modes in Nonlinear Fractional Systems with Deep Lattices.
- Source :
-
Advanced Theory & Simulations . Apr2022, Vol. 5 Issue 4, p1-10. 10p. - Publication Year :
- 2022
-
Abstract
- Solitons in the fractional space, supported by lattice potentials, have recently attracted much interest. The limit of deep 1D and 2D lattices in this system is considered, featuring finite bandgaps separated by nearly flat Bloch bands. Such spectra are also a subject of great interest in current studies. The existence, shapes, and stability of various localized modes, including fundamental gap and vortex solitons, are investigated by means of numerical methods; some results are also obtained with the help of analytical approximations. In particular, the 1D and 2D gap solitons, belonging to the first and second finite bandgaps, are tightly confined around a single cell of the deep lattice. Vortex gap solitons are constructed as fourāpeak "squares" and "rhombuses" with imprinted winding number S=1$S=1$. Stability of the solitons is explored by means of the linearization and verified by direct simulations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR systems
*SOLITONS
Subjects
Details
- Language :
- English
- ISSN :
- 25130390
- Volume :
- 5
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Advanced Theory & Simulations
- Publication Type :
- Academic Journal
- Accession number :
- 156277939
- Full Text :
- https://doi.org/10.1002/adts.202100482