Dark and multi-dark solitons in the three-component nonlinear Schrödinger equations on the general nonzero background<xref rid="cpb_28_12_120201fn1" ref-type="fn">*</xref><fn id="cpb_28_12_120201fn1"><label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant No. 11771151), the Guangdong Natural Science Foundation of China (Grant No. 2017A030313008), the Guangzhou Science and Technology Program of China (Grant No. 201904010362), and the Fundamental Research Funds for the Central Universities of China (Grant No. 2019MS110).</p></fn>

Dark and multi-dark solitons in the three-component nonlinear Schrödinger equations on the general nonzero background**

Project supported by the National Natural Science Foundation of China (Grant No. 11771151), the Guangdong Natural Science Foundation of China (Grant No. 2017A030313008), the Guangzhou Science and Technology Program of China (Grant No. 201904010362), and the Fundamental Research Funds for the Central Universities of China (Grant No. 2019MS110).

Xiong Zhi-Jin¹, Xu Qing², Ling Liming^{2, †}

Upper: the actual single-dark soliton on the general nonzero background. Here (a), (b), and (c) are the model square map for q₁₁, q₂₁, and q₃₁, respectively, which are the exact solutions, and the parameters are c₁ = 0.5, c₂ = 0.5, c₃ = 0.1, a₁ = π, a₂ = 0, a₃ = π/3. Lower: the numerical simulation for TCNLS equations under an initial condition. Here we use the single soliton solutions from exact solutions as the initial value; (d), (e) and (f) are the model square map for q₁₁, q₂₁, and q₃₁, respectively.