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Vector multipole solitons of fractional-order coupled saturable nonlinear Schrödinger equation

Author

Listed:
  • Xu, Tong-Zhen
  • Liu, Jin-Hao
  • Wang, Yue-Yue
  • Dai, Chao-Qing

Abstract

Three kinds of vector multipole solitons of fractional coupled saturable nonlinear Schrödinger equation are reported, including fractional dipole-dipole, dipole-tripole and tripole-dipole vector soliton solutions. Firstly, their existence domains, which are modulated by potential function parameters, are constructed in a certain interval. Secondly, the stable regions of three kinds of vector multipole solitons, which are modulated by the soliton power of each component, are found. The properties of solitons are explored through these existence and stability domains. Finally, the stability of three kinds of fractional vector multipole solitons is verified by the numerical evolution. Compared with the integer-order results, there are differences in the existence and stable regions of soliton solutions, and the Lévy index affects the existence and stability of vector multipole solitons.

Suggested Citation

  • Xu, Tong-Zhen & Liu, Jin-Hao & Wang, Yue-Yue & Dai, Chao-Qing, 2024. "Vector multipole solitons of fractional-order coupled saturable nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924007823
    DOI: 10.1016/j.chaos.2024.115230
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