An improved generalized F-expansion method and its application to the (2 + 1)-dimensional KdV equations

Sheng Zhang; Tiecheng Xia

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An improved generalized F-expansion method and its application to the (2 + 1)-dimensional KdV equations

机译：改进的广义F展开方法及其在（2 +1）维KdV方程中的应用

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摘要

An improved generalized F-expansion method is proposed to seek exact solutions of nonlinear partial differential equations. With the aid of symbolic computation, we choose the (2 + 1 )-dimensional KdV equations to illustrate the validity and advantages of

机译：为了寻求非线性偏微分方程的精确解，提出了一种改进的广义F展开法。借助符号计算，我们选择了（2 +1）维KdV方程来说明该算法的有效性和优势。

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来源
《Communications in Nonlinear Science and Numerical Simulation》 |2008年第7期|p.1294-1301|共8页
作者
Sheng Zhang; Tiecheng Xia;
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作者单位

Department of Mathematics, Bohai University, Jinzhou 121000, China;

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原文格式 PDF
正文语种 eng
中图分类数理科学和化学;
关键词
F-expansion method; jacobi elliptic function; soliton-like solution; trigonometric function solution;

机译：F展开法;雅可比椭圆函数;类孤子解;三角函数解;

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1. Improved fractional sub-equation method for (3+1)-dimensional generalized fractional KdV-Zakharov-Kuznetsov equations [J] . Sahoo S., Ray S. Saha Computers & mathematics with applications . 2015,第2期

机译：（3 + 1）维广义分数阶KdV-Zakharov-Kuznetsov方程的改进分数阶方程
2. A Generalized Extended F-Expansion Method and Its Application in (2+1)-Dimensional Dispersive Long Wave Equation [J] . HUANG Wen-Hua Communications in Theoretical Physics . 2006,第4期

机译：广义扩展F展开法及其在（2 + 1）维色散长波方程中的应用
3. A Generalized Extended F-Expansion Method and Its Application in (2+1)-Dimensional Dispersive Long Wave Equation [J] . HUANG Wen-Hua 理论物理通讯（英文版） . 2006,第010期

机译：广义扩展F展开法及其在（2 + 1）维色散长波方程中的应用
4. Improved Generalized F-expansion Method for the time Fractional Modified KdV(fmKdV) Equation [C] . Abdullah Sonmezoglu International Conference of Numerical Analysis and Applied Mathematics . 2016

机译：改进的广义F扩展方法分数修改KDV（FMKDV）方程
5. Generalized profiling method and the applications to adaptive penalized smoothing, generalized semiparametric additive models and estimating differential equations. [D] . Cao, Jiguo. 2006

机译：广义分析方法及其在自适应惩罚平滑，广义半参数加法模型和微分方程估计中的应用。
6. Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation [O] . Hasibun Naher, Farah Aini Abdullah, M. Ali Akbar -1

机译：（3 + 1）维修正KdV-Zakharov-Kuznetsev方程的广义和改进（G/ G）-展开方法
7. Applications of extended F-expansion and projective Ricatti equation methods to (2+1)-dimensional soliton equations [O] . Hitender Kumar, Fakir Chand 2013

机译：扩展F-展开和投射Ricatti方程方法在（2 + 1）维孤子方程中的应用

An improved generalized F-expansion method and its application to the (2 + 1)-dimensional KdV equations

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