| 中度振幅浅水波模型的行波解 |
| |
| 引用本文： | 石义霞,钟吉玉.中度振幅浅水波模型的行波解[J].四川大学学报(自然科学版),2017,54(1):47-54. |
| |
| 作者姓名： | 石义霞 钟吉玉 |
| |
| 作者单位： | 广东省湛江市岭南师范学院数学与计算科学学院,广东省湛江市岭南师范学院数学与计算科学学院 |
| |
| 基金项目： | 国家自然科学基金面上项目（11371314 ）；广东省高等学校高层次人才项目（QBS201501）；岭南师范学院自然科学研究培育项目(YL1504); 湛科[2016]56号 |
| |
| 摘 要： | 本文利用平面动力系统定性分析方法研究了一个中度振幅单向传播的浅水波模型的行波解.根据可积系统的动力学性质,本文讨论了该模型行波系统的分岔,进而得到了光滑孤立波解,周期波解,周期尖波解,紧孤立波解,扭波解及反扭波解的存在条件,并给出了这些解的精确表达形式.进一步,利用数学软件Maple 18,本文给出了这些有界行波解的数值模拟.
|
| 关 键 词： | 平面动力系统 行波解 中度振幅 周期尖波解 数值模拟. |
| 收稿时间： | 2016/4/21 0:00:00 |
| 修稿时间： | 2016/6/14 0:00:00 |
Traveling wave solutions of a moderate amplitude shallow water wave model |
| |
| SHI Yi-Xia and ZHONG Ji-Yu.Traveling wave solutions of a moderate amplitude shallow water wave model[J].Journal of Sichuan University (Natural Science Edition),2017,54(1):47-54. |
| |
| Authors: | SHI Yi-Xia and ZHONG Ji-Yu |
| |
| Institution: | Mathematics and Computational School, Linnan Normal University, Zhanjiang |
| |
| Abstract: | The author studies the traveling wave solutions of a shallow water wave model with moderate amplitude by qualitative analysis methods of planar dynamical systems. Using the dynamical properties of the integrable systems, we discuss the bifurcation of its traveling wave system, from which we obtain the existence conditions of the bounded traveling solutions, including solitary wave solutions, periodic wave solutions, kink-like wave solutions and antikink-like wave solutions, and the exact expressions of these traveling wave solutions. Furthermore, we simulate these solutions by the Maple 18 software to verify our results. |
| |
| Keywords: | Planar dynamical systems Traveling wave solutions Moderate amplitude Periodic cusp wave solution Numerical simulations |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《四川大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《四川大学学报(自然科学版)》下载免费的PDF全文 |
