| 长短波相互作用方程Jacobi椭圆函数新的展开法求解 |
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| 引用本文： | 周国中,郭冠平.长短波相互作用方程Jacobi椭圆函数新的展开法求解[J].浙江师范大学学报(自然科学版),2005,28(1):25-28. |
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| 作者姓名： | 周国中 郭冠平 |
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| 作者单位： | 1. 金华广播电视大学,浙江,金华,321000
2. 浙江师范大学,教育科学与技术学院,浙江,金华,321004 |
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| 摘 要： | 在原有椭圆函数求解方法的基础上,推广了Jacobi椭圆函数展开方法,引入Jacobi椭圆函数的负幂次展开研究复非线性演化方程组的求解,得到了更多更新的长短波相互作用方程的准确包络周期解.该结果在一定条件下包含了相应的孤波解.
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| 关 键 词： | Jacobi椭圆函数展开方法 长短波相互作用方程 包络周期解 孤波解 |
| 文章编号： | 1001-5051-(2005)01-0025-04 |
| 修稿时间： | 2004年4月2日 |
The new Jacobi elliptic function expansion method by the long-short wave interaction equation |
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| ZHOU Guo-zhong,GUO Guan-ping.The new Jacobi elliptic function expansion method by the long-short wave interaction equation[J].Journal of Zhejiang Normal University Natural Sciences,2005,28(1):25-28. |
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| Authors: | ZHOU Guo-zhong GUO Guan-ping |
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| Institution: | ZHOU Guo-zhong~1,GUO Guan-ping~2 |
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| Abstract: | In this paper, the new Jacobi elliptic function method was generalized to study nonlinear evolution system. The envelope periodic solutions of long-short wave interaction equation were obtained. The solitary wave solutions for this model were also given under some conditions. |
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| Keywords: | the Jacobi elliptic function method long-short wave interaction equation envelope periodic solutions solitary wave solutions |
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