| BBM方程的周期波解和孤立波解 |
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| 引用本文： | 李保安,尤国伟,秦青. BBM方程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(5): 70-73 |
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| 作者姓名： | 李保安 尤国伟 秦青 |
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| 作者单位： | 河南科技大学,数理系,河南,洛阳,471003;河南科技大学,数理系,河南,洛阳,471003;河南科技大学,数理系,河南,洛阳,471003 |
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| 基金项目： | 河南省自然科学基金资助项目(0111050200)，河南省教育厅自然科学基金资助项目(2003110003)，河南科技大学教改资助项目(L2003-3) |
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| 摘 要： | 根据齐次平衡原则并利用F-展开法求出了BBM方程和(2 1)维BBM方程的用Jacobi椭圆函数表示的双周期波解。在极限情形下，得到了方程的孤立波解和单周期波解。F-展开法作为Jacobi椭圆函数展开法的全面概括，也可应用于求解其它非线性发展方程。
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| 关 键 词： | 非线性方程 F-展开法 椭圆函数 周期解 孤立波 |
| 文章编号： | 1672-6871(2004)05-0070-04 |
| 修稿时间： | 2004-06-24 |
Periodic Wave Solutions and Solitary Wave Solutions to BBM Equation |
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| LI Bao-An,YOU Guo-Wei,QIN Qing. Periodic Wave Solutions and Solitary Wave Solutions to BBM Equation[J]. Journal of Henan University of Science & Technology:Natural Science, 2004, 25(5): 70-73 |
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| Authors: | LI Bao-An YOU Guo-Wei QIN Qing |
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| Abstract: | A number of doubly periodic wave solutions expressed by Jacobi elliptic functions to the BBM equation and the (2+1) dimensional BBM equation are obtained by using the homogeneous balance principle and F-expansion method,which can be thought of as an over-all generalization of Jacobi elliptic function expansion method proposed recently. In the limit cases,the solitary wave solutions and other types of single periodic wave solutions to the system are obtained as well.The method used here can be applied to solve other nonlinear evolution equations. |
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| Keywords: | Nonlinear evolution equations F-expansion method Elliptic functions Periodic solutions Solitary waves |
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