Fig. 8

3D Re-component of dark soliton for Eq. (33) concerning to x-axis when \(\chi =0,0.2,0.6,1\) and (\(A_0=1;c=1;n=2;\) \(c_2=0.2;c_4=0.6;\) \(b_2=0.8;b_4=-0.2;\pi _0=3;\) \(k=2;\omega =2;\iota _2=0.2;\iota _4=0.2\)).

3D Re-component of dark soliton for Eq. (33) concerning to x-axis when \(\chi =0,0.2,0.6,1\) and (\(A_0=1;c=1;n=2;\) \(c_2=0.2;c_4=0.6;\) \(b_2=0.8;b_4=-0.2;\pi _0=3;\) \(k=2;\omega =2;\iota _2=0.2;\iota _4=0.2\)).