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

Year 2018, Volume: 1 Issue: 2, 184 - 190, 25.12.2018

Yongyi Gu

https://doi.org/10.33401/fujma.486881

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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