Multiple-soliton solutions for a (3 + 1)-dimensional generalized KP equation

Abstract The simplified form of the Hirota’s method is used to handle a generalized (3 + 1)-dimensional Kadomtsev–Petviashvili (KP) equation. Multiple-soliton solutions and multiple singular soliton solutions are formally established. The coefficients of the spatial variables y and z should be of the form aki and bk i n respectively, where a and b are free parameters and n is finite. The obtained solutions are general and contain other existing solutions.

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