New Wronskian Representation of Solution for a Variable-Coefficient Kadomtsev–Petviashvili Equation

Utilizing the Wronskian technique, a new Wronskian representation is proposed for a variable-coefficient Kadomtsev–Petviashvili (vcKP) equation. Furthermore, some particular forms of Wronskian determinant solutions, including N-soliton solutions, trigonometric function solutions and rational solutions, are obtained for the equation.