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Dergiler / 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
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Yayın Tarihi
2018-12-25
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:This nonlinear model plays a critical role in the study of nonlinear sciences.
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Sonuç & Katkı:Four types of explicit solutions are obtained, which are hyperbolic, exponential, trigonometric and rational function solutions.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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