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

Authors : Yongyi Gu

Pages : 184-190

Doi:10.33401/fujma.486881

View : 13 | Download : 8

Publication Date : 2018-12-25

Article Type : Research

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