N-lump and interaction solutions of localized waves to the (2 + 1)-dimensional generalized KP equation

Abstract

With the aid of the binary Hirota polynomial scheme, the bilinear form of the generalized (3 + 1)-dimensional Kadomtsev-Petviashvili equation, is constructed. Then, several classes of rogue waves-type solutions to the generalized (3 + 1)-dimensional Kadomtsev-Petviashvili equation within the frame of the bilinear equation are found. Finally, M-soliton solution and N-soliton based on the frame of the bilinear and expansion of summation multiple soliton solutions were used to get different types of k-solitons waves of this considered model. The physical phenomena of these gained multiple soliton solutions are analyzed and indicated in figures by selecting suitable values. These results can help us better understand interesting physical phenomena and mechanism.