Discrete breathers and modulational instability in a discrete $$\varvec{\phi ^{4}}$$ϕ4 nonlinear lattice with next-nearest-neighbor couplings
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3386-4
Abstract: The properties of discrete breathers and modulational instability in a discrete $$\phi ^{4}$$ϕ4 nonlinear lattice which includes the next-nearest-neighbor coupling interaction are investigated analytically. By using the method of multiple scales combined with a quasi-discreteness… read more here.
Keywords: discrete breathers; nearest neighbor; modulational instability; next nearest ... See more keywords
Modulational instability in addition to discrete breathers in 2D quantum ultracold atoms loaded in optical lattices
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DOI: 10.1007/s11071-019-05295-w
Abstract: The modulational instability associated with discrete breathers in 2D quantum ultracold atoms is studied by using the Glauber’s coherent state combined with a semi-discrete approximation and multiple-scale methods. The linear stability analysis exhibits an intriguing… read more here.
Keywords: quantum ultracold; discrete breathers; modulational instability; breathers quantum ... See more keywords
Two-dimensional discrete breathers in fcc metals
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DOI: 10.1016/j.commatsci.2020.109737
Abstract: Abstract The interest in discrete breathers (DB), i.e. a time-periodic and spatially localized vibrational mode in a defect free nonlinear lattice, is related to their ability to localize vibrational energy of the order of several… read more here.
Keywords: discrete breathers; fcc metals; dimensional discrete; two dimensional ... See more keywords
Compact discrete breathers on flat-band networks
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DOI: 10.1063/1.5041434
Abstract: Linear wave equations on flat band networks host compact localized eigenstates (CLS). Nonlinear wave equations on translationally invariant flat band networks can host compact discrete breathers - time periodic and spatially compact localized solutions. Such… read more here.
Keywords: discrete breathers; breathers flat; compact discrete; flat band ... See more keywords