A more general form of lump solution, lumpoff, and instanton/rogue wave solutions of a reduced (3 + 1)-dimensional nonlinear evolution equation*

Project supported by the National Natural Science Foundation of China (Grant Nos. 11675084 and 11435005), the Fund from the Educational Commission of Zhejiang Province, China (Grant No. Y201737177), Ningbo Natural Science Foundation (Grant No. 2015A610159), and the K CWong Magna Fund in Ningbo University.

Zheng Panfeng1, Jia Man1, 2, †
       

(color online) Evolution plots of lumpoff solution by choosing Eqs. (55) and (56) at time (a) t = −15, (b) t = 0, (c) t = 5, and (d) t = 25, respectively which shows that the lump is cutoff by the induced soliton and eventually is invisible.