| 关于Jacobi椭圆函数展开法 |
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| 引用本文： | 陈怀堂,张鸿庆. 关于Jacobi椭圆函数展开法[J]. 数学研究及应用, 2004, 24(3): 430-436 |
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| 作者姓名： | 陈怀堂 张鸿庆 |
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| 作者单位： | 1. 大连理工大学应用数学系,辽宁,大连,116024;临沂师范学院数学系,山东,临沂,276005
2. 大连理工大学应用数学系,辽宁,大连,116024 |
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| 基金项目： | Supported by the National Key Basic Research Development Project of China(1998030600)，the National Natural Science Foundation of China(10072013) |
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| 摘 要： | 主要利用Jacobi椭圆函数所满足的方程并用其解代替Jacobi椭圆函数以求非线性偏微分方程的周期解,并举例说明该方法的应用.
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| 关 键 词： | Jacobi椭圆函数 周期波解 冲击波解 吴代数消元法 |
| 收稿时间： | 2002-01-20 |
On the Jacobi Elliptic Function Expansion Method |
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| CHEN Huai-tang and ZHANG Hong-qing. On the Jacobi Elliptic Function Expansion Method[J]. Journal of Mathematical Research with Applications, 2004, 24(3): 430-436 |
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| Authors: | CHEN Huai-tang and ZHANG Hong-qing |
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| Affiliation: | Dept. of Math.; Dalian University of Technology; Liaoning; China; Dept. of Math.; Linyi Normal University; Shandong; China;Dept. of Math.; Dalian University of Technology; Liaoning; China |
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| Abstract: | The main idea of this method is to take full advantage of the elliptic equation that Jacobi elliptic functions satisfy and use its solutions to replace Jacobi elliptic functions in Jacobi elliptic function method. Some illustrative equations are investigated by this means. |
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| Keywords: | Jacobi elliptic function periodic wave solution shock wave solution Wu algebraic elimination. |
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