| 拓展映射法求非线性偏微分方程的新解 |
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| 引用本文： | 何红生.拓展映射法求非线性偏微分方程的新解[J].集美大学学报(自然科学版),2015,0(5):387-391. |
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| 作者姓名： | 何红生 |
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| 作者单位： | （集美大学理学院，福建 厦门 361021） |
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| 摘 要： | 构建了一种拓展的映射法（F展开法）求解某些非线性偏微分方程（PDEs）的精确解.研究表明，该拓展的映射法不仅能够求得方程的Jacobi椭圆函数的整数幂指数形式解，而且能够求得非线性方程的分数幂指数形式（1+δf2（ξ））1/2的Jacobi椭圆函数解.
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| 关 键 词： | 拓展的F展开法 Jacobi椭圆函数 耦合Klein-Gordon-Schrodinger方程 |
New Solutions for Nonlinear Partial Differential Equations Using the Extended Mapping Method |
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| HE Hong-sheng.New Solutions for Nonlinear Partial Differential Equations Using the Extended Mapping Method[J].the Editorial Board of Jimei University(Natural Science),2015,0(5):387-391. |
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| Authors: | HE Hong-sheng |
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| Institution: | (School of Science，Jimei University，Xiamen 361021，China) |
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| Abstract: | The extended F-expansion (or mapping) method is presented to construct exact solutions to some nonlinear partial differential equations (PDEs).It was shown that not only integer exponential Jacobi elliptic function solutions，but also fractional exponential combined Jacobi elliptic function of the form （1+δf2（ξ））1/2 solutions were obtained. |
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| Keywords: | extended F-expansion method Jacobi elliptic functions coupled Klein-Gordon-Schrodinger equations |
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