Fig. 1. The real part $V_{\mathrm{R}}$ and imaginary part $V_{\mathrm{I}}$ of the PT-symmetric potential $V(X)$ with $V_{\mathrm{0}}=-\mathrm{1}$ and $W_{\mathrm{0}}=\mathrm{0.2}$

Fig. 2. The modes $\phi$ and transverse energy density $S$ of double gray solitons with $\mu =-\mathrm{1}$ and $\sigma =-\mathrm{1}$

Fig. 3. The intensity distribution $I$ of double gray solitons with $\alpha =\mathrm{1.2}$，$W_{\mathrm{0}}=\mathrm{0.01}$ and $\sigma =-\mathrm{1}$

Fig. 4. The power $P$ of double gray solitons with $\alpha =\mathrm{1.2}$，$W_{\mathrm{0}}=\mathrm{0.01}$ and $\sigma =-\mathrm{1}$

Fig. 5. The transmission of double gray solitons in PT-symmetric waveguide with different $s$ and the corresponding stable spectrum with $\alpha =\mathrm{1.2}$，$W_{\mathrm{0}}=\mathrm{0.01}$，$\mu =-\mathrm{1}$ and $\sigma =-\mathrm{1}$

Fig. 6. The transmission of double gray solitons in PT-symmetric waveguide with different $\mu$ and the corresponding stable spectrum with $\alpha =\mathrm{1.2}$，$W_{\mathrm{0}}=\mathrm{0.01}$，$s=\mathrm{0.5}$ and $\sigma =-\mathrm{1}$

Fig. 7. The transmission of bright soliton beam in PT-symmetric waveguide with different $s$ when $X_{\mathrm{0}}=\mathrm{0}$，$\alpha =\mathrm{1.2}$，$W_{\mathrm{0}}=\mathrm{0.1}$ and $\sigma =\mathrm{1}$

Fig. 8. The transmission of bright soliton beam in PT-symmetric waveguide with different $s$ when $X_{\mathrm{0}}=\mathrm{3}$，$\alpha =\mathrm{1.2}$，$W_{\mathrm{0}}=\mathrm{0.1}$ and $\sigma =\mathrm{1}$

Fig. 9. The transmission of bright soliton beam in PT-symmetric waveguide with different $V_{\mathrm{0}}$ when $X_{\mathrm{0}}=\mathrm{3}$，$\alpha =\mathrm{1.2}$，$W_{\mathrm{0}}=\mathrm{0.1}$，$s=\mathrm{0.8}$ and $\sigma =\mathrm{1}$