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Journals / Fundamental Journal of Mathematics and Applications / 2018 / Volume: 1 Issue: 2

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

Yongyi Gu0000-0002-6651-1714
Pages
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Publication Date
2018-12-25
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Four types of explicit solutions are obtained, which are hyperbolic, exponential, trigonometric and rational function solutions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we employ Lie group analysis to obtain symmetry reduction of a class of (3+1)-dimensional nonlinear model.
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Key Findings & Data:This nonlinear model plays a critical role in the study of nonlinear sciences.
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Conclusion & Impact:Four types of explicit solutions are obtained, which are hyperbolic, exponential, trigonometric and rational function solutions.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Differential equation · Explicit solutions · Symmetry reduction

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.

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Cite This Article

Gu, Y. (2018). Explicit Solutions of a Class of (3+1)-Dimensional Nonlinear Model. Fundamental Journal of Mathematics and Applications, Volume: 1 Issue: 2. https://doi.org/10.33401/fujma.486881

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