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

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 bkin respectively, where a and b are free parameters and n is finite. The obtained solutions are general and contain other existing solutions.

► We study generalized KP equation.
► We use a simplified form of Hirota’s method.
► We derive multiple-soliton solutions for this equation.
► The coefficient of the spatial variable z is a free parameter.