Lump, lumpoff and predictable rogue wave solutions to a dimensionally reduced Hirota bilinear equation
Wang Haifeng, Zhang Yufeng
       

Density plots of the special instanton (47) for Eq. (3) with the parameters (50) at times: (a) t = −5, (b) t = −3, (c) t = 0, (d) t = 2, (e) t = 10.