This paper presents a new soliton solu- tion to the B-Kadomtsev-Petviashvili (BKP) equa- tion, a quasi-resonant 3-soliton solution derived using the Hirota bilinear method. This solution features two strong quasi-resonances and one weak quasi- resonance, corresponding to the parameters a12 → +∞, a13 → +∞, and a23 → 0. As a result of the quasi-resonance effect, the 3-soliton displays a net- like structure characterized by three X-shaped forma- tions. Each X-shaped structure has a constant-length localized stem connecting two pairs of V-shaped soli- tons. We provide the conditions necessary for quasi- resonance and describe the time evolution of the quasi- resonant 3-soliton. We offer explicit analytical expres- sions for the trajectories, endpoints, and lengths of the soliton arms and stem structures. Additionally, we investigate the influence of the small parameter j on the stem length through graphical analysis. These detailed studies enhance our understanding of the prop- erties of quasi-resonant multi-solitons.
