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

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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