Novel Wronskian Condition and New Exact Solutions to a （3＋1）-Dimensional Generalized KP Equation

Utilizing the Wronskian technique, a combined Wronskian condition is established for a(3+1)-dimensional generalized KP equation. The generating functions for matrix entries satisfy a linear system of new partial diferential equations. Moreover, as applications, examples of Wronskian determinant solutions, including N-soliton solutions,periodic solutions and rational solutions, are computed.