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

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

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.

Suggested Citation

  • Mou, Da-Sheng & Zhang, Jia-Hao & Jia, Yun-Hao & Dai, Chao-Qing, 2025. "Propagation dynamics of multipole solitons and influence of fractional diffraction effect on solitons in II-type Dirac photonic lattices," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924014474
    DOI: 10.1016/j.chaos.2024.115895
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