Lump, mixed lump-soliton, and periodic lump solutions of a (2+1)-dimensional extended higher-order Broer-Kaup System

In this paper, a (2+1)-dimensional extended higher-order Broer-Kaup system is introduced and its bilinear form is presented from the truncated Painleve expansion. By taking the auxiliary function as the ansatzs including quadratic, exponential, and trigonometric functions, lump, mixed lump-soliton, and periodic lump solutions are derived. The mixed lump-soliton solutions are classified into two cases: the first one describes the non-elastic collision between one lump and one line soliton, which exhibits fission and fusion phenomena. The second one depicts the interaction consisting of one lump and two line soliton, which generates a rogue wave excited from two resonant line solitons.