Explicit Solutions of a Class of (3+1)-Dimensional Nonlinear Model

Abstract

In this article, we employ Lie group analysis to obtain symmetry reduction of a class of (3+1)-dimensional nonlinear model. This nonlinear model plays a critical role in the study of nonlinear sciences. By the exp$(-\varphi(z))$-expansion method, we construct explicit solutions for the proposed equation. Four types of explicit solutions are obtained, which are hyperbolic, exponential, trigonometric and rational function solutions.

Keywords

• Differential equation,Explicit solutions,Symmetry reduction,Exp$(-\varphi(z))$-expansion method

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