Soliton structures in the (1+1)-dimensional Ginzburg–Landau equation with a parity-time-symmetric potential in ultrafast optics

Li Wenyi^{1, 2}, Ma Guoli^{1, 2}, Yu Weitian¹, Zhang Yujia¹, Liu Mengli^{1, 2}, Yang Chunyu¹, Liu Wenjun^{1, 2, †}

(color online) Influence of the diffraction β(x). Parameters are as follows: (a) β(x) = 2, γ ( x ) = − 2 / e 2 , ε = 1, k₁ = 2, k₂ = 1, c₁ = 0.5, c_i = 1 (i = 2,3,4,5,6) and θ_i = 1 (i = 1,2); (b) β(x) = 1, γ ( x ) = − 2 / e 2 , ε = 1, k_i = 1 (i = 1,2), c₃ = −1, c_i = 1 (i = 2,4,5,6), and θ i = 1 ( i = 1 , 2 ) .