Bäcklund transformations, consistent Riccati expansion solvability, and soliton–cnoidal interaction wave solutions of Kadomtsev–Petviashvili equation<xref rid="cpb_29_2_020201fn1" ref-type="fn">*</xref><fn id="cpb_29_2_020201fn1"><label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11775047, 11775146 and 11865013) and the Science and Technology Project Foundation of Zhongshan City, China (Grant No. 2017B1016).</p></fn>

Bäcklund transformations, consistent Riccati expansion solvability, and soliton–cnoidal interaction wave solutions of Kadomtsev–Petviashvili equation**

Project supported by the National Natural Science Foundation of China (Grant Nos. 11775047, 11775146 and 11865013) and the Science and Technology Project Foundation of Zhongshan City, China (Grant No. 2017B1016).

Liu Ping^{1, †}, Cheng Jie², Ren Bo³, Yang Jian-Rong⁴

Evolution of u with space and time. The parameters are constrained by Eq. (47), and the free parameters are δ = 1, μ = 0.9, a₃ = 0.4, k₁ = 2, k₂ = −2, ω₁ = 4, and l₂ = 6. Panel (a) is the evolution of u with x and y, and panel (b) is the evolution of u with x and t.