Exact Solutions for (4 + 1)-Dimensional Nonlinear Fokas Equation Using Extended F-Expansion Method and Its Variant

Yinghui He

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Exact Solutions for (4 + 1)-Dimensional Nonlinear Fokas Equation Using Extended F-Expansion Method and Its Variant

机译：（4 +1）维非线性Fokas方程的精确解的扩展F展开方法及其变形

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The construction of exact solution for higher-dimensional nonlinear equation plays an important role in knowing some facts that are not simply understood through common observations. In our work, (4 + 1)-dimensional nonlinear Fokas equation, which is an important physical model, is discussed by using the extended F-expansion method and its variant. And some new exact solutions expressed by Jacobi elliptic function, Weierstrass elliptic function, hyperbolic function, and trigonometric function are obtained. The related results are enriched.

机译：构造高维非线性方程的精确解对于了解一些通常无法通过常规观察简单理解的事实起着重要作用。在我们的工作中，使用扩展的F展开方法及其变体讨论了（4 +1）维非线性Fokas方程，这是一个重要的物理模型。得到了雅可比椭圆函数，魏斯特拉斯椭圆函数，双曲函数和三角函数表示的一些新的精确解。相关结果得到了丰富。

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《Mathematical Problems in Engineering》 |2014年第8期|972519.1-972519.11|共11页
作者
Yinghui He;
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Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China;

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1. Exact Solutions for(4+1)-Dimensional Nonlinear Fokas Equation Using ExtendedF-Expansion Method and Its Variant [J] . YinghuiHe Mathematical Problems in Engineering: Theory, Methods and Applications . 2014,第6期

机译：（4 + 1）维非线性Fokas方程精确解的扩展F展开法及其变型
2. Exact travelling wave solutions of the (3 + 1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation through the improved F-expansion method with Riccati equation [J] . Md. Shafiqul Islam, Kamruzzaman Khan, M. Ali Akbar International journal of computing science and mathematics . 2017,第1期

机译：通过改进的带有Riccati方程的F展开方法，（3 +1）维势Yu-Toda-Sasa-Fukuyama方程的精确行波解
3. Exact solutions for the coupled Klein—Gordon-Schroedinger equations using the extended F-expansion method [J] . He Hong-Sheng, Chen Jiang, Yang Kong-Qing Chinese physics . 2005,第10期

机译：使用扩展的F展开方法的耦合Klein-Gordon-Schroedinger方程的精确解
4. Exact Solutions for (2 + 1)-Dimensional Nonlinear Schr?dinger Schrodinger Equation Based on Modified Extended tanh Method [C] . Mei Xiong, Longwei Chen, Chaochao Li, International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery . 2020

机译：（2 + 1）的精确解决方案 - 二维非线性SCHR？基于改进的延长Tanh方法的Dinger Schrodinger方程
5. Extending and Simplifying Existing Piecewise-Linear Homotopy Methods for Solving Nonlinear Systems of Equations [D] . Wheaton, Ira, Jr. 2017

机译：求解方程组非线性系统的现有分段线性同伦方法的扩展和简化
6. Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations [O] . Kamruzzaman Khan, M Ali Akbar, S M Rayhanul Islam -1

机译：（1 + 1）维非线性色散修正的Benjamin-Bona-Mahony方程和Klein-Gordon耦合方程的精确解
7. Application of the improved F-expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations [O] . Islam Md. Shafiqul, Khan Kamruzzaman, Akbar M. Ali 2017

机译：应用改进的F展开方法和Riccati方程找到非线性发展方程的精确解

Exact Solutions for (4 + 1)-Dimensional Nonlinear Fokas Equation Using Extended F-Expansion Method and Its Variant

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