| 变形Boussinesq方程组的周期波解和孤立波解 |
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| 引用本文： | 李保安,李修勇,李晓燕,王明亮.变形Boussinesq方程组的周期波解和孤立波解[J].河南科技大学学报(自然科学版),2004,25(2):91-94. |
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| 作者姓名： | 李保安 李修勇 李晓燕 王明亮 |
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| 作者单位： | 1. 河南科技大学,数理系,河南,洛阳,471003
2. 河南科技大学,数理系,河南,洛阳,471003;兰州大学,数学系,甘肃,兰州,730000 |
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| 基金项目： | 河南省自然科学基金资助项目 (0 1110 5 0 2 0 0 )，河南科技大学科研基金资助项目 (2 0 0 3ZY0 3 ) |
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| 摘 要： | 变形Boussinesq方程组是描述水波双向传播的数学模型。根据齐次平衡原则并利用F-展开法求出了该方程组丰富的用Jacobi椭圆函数表示的双周期波解。在极限情形下，得到了该方程组的孤立波解和单周期波解。
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| 关 键 词： | 变形Boussinesq方程组 周期波解 孤立波解 水波 椭圆函数 周期船 F-展开法 齐次平衡原则 |
| 文章编号： | 1672-6871(2004)02-0091-04 |
| 修稿时间： | 2003年11月26 |
Periodic Wave Solutions and Solitary Wave Solutions to Variant Boussinesq Equations |
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| LI Bao-An,LI Xiu-Yong,LI Xiao-Yan,WANG Ming-Liang.Periodic Wave Solutions and Solitary Wave Solutions to Variant Boussinesq Equations[J].Journal of Henan University of Science & Technology:Natural Science,2004,25(2):91-94. |
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| Authors: | LI Bao-An LI Xiu-Yong LI Xiao-Yan WANG Ming-Liang |
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| Institution: | LI Bao-An~1,LI Xiu-Yong~1,LI Xiao-Yan~1,WANG Ming-Liang~ |
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| Abstract: | The system of variant Boussinesq equations is a mathematical model describing water waves movement to both left and right.An abundanct doubly periodic wave solutions to the system are obtained by using the homogeneous balance principle and F-expansion method having been regarded as an over-all generalization of Jacobi elliptic function expansion method proposed recently. In the limit cases, the solitary wave solutions and other type of single periodic wave solutions to the system are obtained as well. |
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| Keywords: | Non-linear equations Homogeneous balance principle Periodic solutions Elliptic functions Solitary waves |
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