Trajectory equation of a lump before and after collision with line, lump, and breather waves for (2+1)-dimensional Kadomtsev–Petviashvili equation<xref rid="cpb_28_11_110201fn1" ref-type="fn">*</xref><fn id="cpb_28_11_110201fn1"><label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11775121, 11805106, and 11435005) and K C Wong Magna Fund in Ningbo University, China.</p></fn>

Trajectory equation of a lump before and after collision with line, lump, and breather waves for (2+1)-dimensional Kadomtsev–Petviashvili equation**

Project supported by the National Natural Science Foundation of China (Grant Nos. 11775121, 11805106, and 11435005) and K C Wong Magna Fund in Ningbo University, China.

Zhang Zhao, Yang Xiangyu, Li Wentao, Li Biao^†

Hybrid solutions consisting of a lump and a breather wave for Eq. (1). (a) Three-dimensional plot at t = 2; (b) density plot at t = −0.5.