| 耦合Schr(o)dinger-Boussinesq方程组的显式精确解 |
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| 引用本文： | 陈翰林,许镇辉.耦合Schr(o)dinger-Boussinesq方程组的显式精确解[J].应用数学学报,2006,29(5):955-960. |
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| 作者姓名： | 陈翰林 许镇辉 |
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| 作者单位： | 1. 西南科技大学理学院,四川,绵阳,621002
2. 绵阳师范学院数学系,绵阳,621000 |
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| 摘 要： | 本文针对耦合Schrodinger-Boussinesq方程组，借助于F-展开法得到了用不同Jacobi椭圆函数表示的一系列周期波解．在极限情况下，还求出了对应的孤立波解．
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| 关 键 词： | 耦合Schr(o)inger-Boussinesq方程组 F-展开法 周期波解 Jacobi椭圆函数 孤立波解 |
| 收稿时间： | 2006-03-17 |
| 修稿时间： | 2006-03-172006-07-19 |
Periodic Wave Solutions for the Coupled Schr(o)dinger-Boussinesq Equations |
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| CHEN HANLIN,XU ZHENHUI.Periodic Wave Solutions for the Coupled Schr(o)dinger-Boussinesq Equations[J].Acta Mathematicae Applicatae Sinica,2006,29(5):955-960. |
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| Authors: | CHEN HANLIN XU ZHENHUI |
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| Institution: | 1.School of Science, Southwest University of Science and Technology, Mianyang 621000;2.Department of Mathematics, Mianyang Normal University, Mianyang 621000 |
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| Abstract: | By using the F-expansion method we obtain a number of periodic wave solutions expressed by various Jacobi elliptic function for the coupled SchrSdinger-Boussinesq equations. In the limit case, solitary wave solutions are obtained as well. |
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| Keywords: | coupled SchrSdinger-Boussinesq equations F-expansion method periodic wave solutions Jacobi elliptic functions solitary wave solutions |
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