Integrability and lump-type solutions to the 3-D Kadomtsev-Petviashvili-Boussinesq-like equation

摘要

The (3+1)-D Kadomtsev-Petviashvili-Boussinesq-like equation is studied, and its bilinear form, Backlund transformation and Lax pairs are elucidated. Lump-type solutions are obtained, which include periodic lump and interaction lump solutions, through the three-wave method and the ansatz method. The dynamic evolution mechanisms of solutions are illustrated graphically.