| Jacobi椭圆函数展开法在两个非线性偏微分方程解中的应用 |
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| 引用本文： | 阮传同,张瑞丽.Jacobi椭圆函数展开法在两个非线性偏微分方程解中的应用[J].井冈山大学学报（自然科学版）,2013(5):4-8. |
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| 作者姓名： | 阮传同 张瑞丽 |
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| 作者单位： | 周口师范学院数学系，河南，周口 466001 |
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| 基金项目： | 周口师范学院青年科研基金项目 |
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| 摘 要： | 介绍构造非线性方程精确解的一种直解代数方法——Jacobi椭圆函数展开法，并分析了Jacobi椭圆函数展开法的适用条件，揭示了Jacobi椭圆函数展开法的解题思想和技巧。最后，运用此方法构造出了两个非线性方程的精确解，并给出特殊情况下的波形图。
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| 关 键 词： | Jacobi椭圆函数 秩 非线性方程 齐次平衡法 精确解 |
JACOBI ELLIPTIC FUNCTION EXPANSION METHOD IS APPLIED TO TWO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS |
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| RUAN Chuan-tong,ZJANG Rui-li.JACOBI ELLIPTIC FUNCTION EXPANSION METHOD IS APPLIED TO TWO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS[J].Journal of Jinggangshan University(Natural Sciences Edition),2013(5):4-8. |
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| Authors: | RUAN Chuan-tong ZJANG Rui-li |
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| Institution: | RUAN Chuan-tong, ZJANG Rui-li (Department of Mathematics, Zhoukou Normal University, Zhookou, Henan 466001, Chiaa) |
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| Abstract: | We mainly introduced a method of direct Algebra the Jacobian elliptic function expansion method, using for constructing the exact solutions to the nonlinear equations. We also analyzed the application conditions of the Jacobi elliptic function expansion method. Furthermore, we revealed the solving ideas and skills of the Jacobi elliptic function method. Finally, we constructed the exact solutions of two nonlinear equations based on the method and the waveform diagram was given under special circumstances. |
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| Keywords: | Jacobi elliptic function expansion method rank nonlinear equation homogeneous balance method exact solution |
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