Abstract

Abstract Using the Hirota bilinear method, an N-soliton solution of a ( 3 + 1 ) -dimensional nonlinear evolution equation is obtained with the aid of the perturbation technique. Based on the constructed Wronskian determinant of solutions for a system of four linear differential equations, the Wronskian form of N-soliton solution for the ( 3 + 1 ) -dimensional nonlinear evolution equation is given.

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