Exact solutions with elastic interactions for the (2+1)-dimensional extended Kadomtsev-Petviashvili equation

In this work, the (2+1)-dimensional extended Kadomtsev-Petviashvili equation, which models the surface waves and internal waves in straits or channels, is investigated via the Hirota bilinear method.N-soliton and high-order breather solutions are obtained analytically. Furthermore, mixed solutions consisting of first-order breathers and solitons are also derived, and the corresponding dynamic behaviors are shown by three-dimensional plots. Additionally, based on the long-wave limit, we obtain line rogue waves, lumps and semi-rational solutions composed of lumps, line rogue waves and solitons. It is noteworthy that the semi-rational solutions derived in this paper exhibit elastic interactions.