Propagation dynamics of multipole solitons and influence of fractional diffraction effect on solitons in II-type Dirac photonic lattices

Da-Sheng Mou, Jia-Hao Zhang, Yun-Hao Jia and Chao-Qing Dai

Chaos, Solitons & Fractals, 2025, vol. 191, issue C

Abstract: By changing the depth of the waveguide and adjusting the band structure to make the bandgap appear, the influence of the integer- and fractional-order diffractions on two-dimensional spatial localized modes in the II-type Dirac photonic lattices are investigated. Under the nonlinear action, the linear topological mode is transformed into a set of topological gap solitons, which form stable integer-order fundamental and dipole solions, and unstable quadrupole solion. Stable fractional-order fundamental and dipole solions and metastable quadrupole solion are obtained by decreasing the Lévy index, and the propagation dynamics of these solitons are discussed. By comparing the integer-order with the fractional-order solitons, it is proved that the propagation constant as well as the Lévy index play a crucial role in the stability of soliton. The findings enable insightful studies of highly localized gap modes in linear nonlocality (fractional) physical systems.

Keywords: II-type Dirac photonic lattices; Fractional diffraction effect; Topological gap solitons; Propagation dynamics (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924014474

DOI: 10.1016/j.chaos.2024.115895

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