A more general form of lump solution, lumpoff, and instanton/rogue wave solutions of a reduced (3 + 1)-dimensional nonlinear evolution equation<xref rid="cpb_27_12_120201fn1" ref-type="fn">*</xref><fn id="cpb_27_12_120201fn1"><label>*</label> <p>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.</p></fn>

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 Man^{1, 2, †}

(color online) The exhibition of the lump solution determined by Eq. (41) with the parameters chosen in Eq. (46). Panel (a) shows the lump structure at t = 0. Panel (b) is the projective density plot of u at t = 0. Panel (c) is the path of the lump at t = −10, 0, 10 with the red line being Eq. (49).