... solutions, breathers, multi solitons and interaction solutions are very well furnished in this study and the physical nature of many intriguing exact solutions are illustrated using 2D, 3D and density graphs. The extracted solutions are completely new and have not been covered in other works of literature...

... variable-coefficient generalized B-type Kadomtsev–Petviashvili (vcgBKP) equation as examples. Design/methodology/approach Based on Hirota’s bilinear theory, a direct method is used to examine the lump solutions of these two equations. Findings The complete non-elastic interaction solutions between...