Exact solutions for a (2+1)-dimensional B-type Kadomtsev-Petviashvili equation

We study a (2+1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation. Using the Hirota bilinear method, we construct multi-soliton solutions and analyse their propagation and interaction properties. By appropriately tuning the solution parameters, we identify resonant interactions. On the basis of the Bäcklund transformation (BT), we obtain another class of soliton solutions, from which breather solutions are further derived. In addition, a double-pole solution is obtained through an appropriate limiting procedure. These solutions reveal an underlying periodic mechanism associated with parameter tuning and phase matching, providing insight into the emergence of breather oscillations and resonant energy exchange in the BKP system.