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

• Published in: Chaos, solitons and fractals solitons and fractals, 2024-09, Vol.186, p.115230, Article 115230
• Main Authors: Xu, Tong-Zhen, Liu, Jin-Hao, Wang, Yue-Yue, Dai, Chao-Qing
• Format: Article
• Language: English
• Subjects: Existence; Fractional-order; Saturable nonlinearity; Stability; Vector soliton
• ISSN: 0960-0779
• DOI: 10.1016/j.chaos.2024.115230

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. •Existence domains of fractional vector multipole solitons are given.•Stable regions of fractional vector multipole solitons are found.•Stability of fractional vector multipole solitons is verified by the numerical evolution.