| 耦合KdV系统的显式周期解 |
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| 引用本文： | 陈松林.耦合KdV系统的显式周期解[J].上海交通大学学报,2007,41(10):1727-1730. |
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| 作者姓名： | 陈松林 |
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| 作者单位： | 安徽工业大学,数理学院,马鞍山,243002 |
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| 基金项目： | 安徽省教育厅自然科学基金;安徽省冶金工程与资源综合利用重点实验室资助项目 |
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| 摘 要： | 运用秩的概念将微分方程式在行波变换下的Jacobi椭圆函数展开法进行推广,应用到非线性发展方程组的求解中.通过直接找出方程组的精确解来证实这类微分方程组周期解的存在性问题.研究表明,当模数m→1时周期解退化为钟型及扭结型孤立波解.
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| 关 键 词： | KdV方程组 Jacobi椭圆函数 秩 周期解 |
| 文章编号： | 1006-2467（2007）10-1727-04 |
| 修稿时间： | 2006-08-26 |
The Explicit Periodical Solutions for Coupled KdV Systems |
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| CHEN Song-lin.The Explicit Periodical Solutions for Coupled KdV Systems[J].Journal of Shanghai Jiaotong University,2007,41(10):1727-1730. |
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| Authors: | CHEN Song-lin |
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| Abstract: | A coupled KdV system was solved by using the generalized Jacobian elliptic function expansion method.As a consequence,abundant families of periodic solutions expressed with Jacobian elliptic function are obtained to expose the existence of periodic solutions for the considered system.When the modulus m tends to 1,those periodic solutions degenerate to the corresponding solitary wave solution,including bell-type and kink-type excitations. |
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| Keywords: | coupled KdV system Jacobian elliptic function rank periodic solution |
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