2020
DOI: 10.1063/5.0025441
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Intrinsical localization of both topological (anti-kink) envelope and gray (black) gap solitons of the condensed bosons in deep optical lattices

Abstract: By developing quasi-discrete multiple-scale method combined with tight-binding approximation, a novel quadratic Riccati differential equation is first derived for the soliton dynamics of the condensed bosons trapped in the optical lattices. For a lack of exact solutions, the trial solutions of the Riccati equation have been analytically explored for the condensed bosons with various scattering length as. When the lattice depth is rather shallow, the results of sub-fundamental gap solitons are in qualitative ag… Show more

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Cited by 4 publications
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“…[24,25] The general properties of gap solitons have been intensively studied in many different nonlinear periodic systems, examples include but are not limited to optical waveguide arrays and photonic lattices, [26,27] semiconductor microcavities, [28] and BEC in optical lattices. [1,23,29,30] Gap solitons in honeycomb optical lattice have been studied both theoretically and experimentally. [17] The authors of Ref.…”
Section: Introductionmentioning
confidence: 99%
“…[24,25] The general properties of gap solitons have been intensively studied in many different nonlinear periodic systems, examples include but are not limited to optical waveguide arrays and photonic lattices, [26,27] semiconductor microcavities, [28] and BEC in optical lattices. [1,23,29,30] Gap solitons in honeycomb optical lattice have been studied both theoretically and experimentally. [17] The authors of Ref.…”
Section: Introductionmentioning
confidence: 99%