| 时间分数阶Klein-Gordon型方程的精确解及其动力学性质 |
| |
| 引用本文： | 张慧,芮伟国.时间分数阶Klein-Gordon型方程的精确解及其动力学性质[J].西南农业大学学报,2019,41(7):77-82. |
| |
| 作者姓名： | 张慧 芮伟国 |
| |
| 作者单位： | 重庆师范大学数学科学学院;西南科技大学城市学院通识学院 |
| |
| 基金项目： | 国家自然科学基金项目（11361023，61623020，11601048）；重庆市科委项目（cstc2018jcyjX0766）. |
| |
| 摘 要： | 利用变量分离法与齐次平衡原理相结合的方法,对非线性时间分数阶Klein-Gordon型方程进行了研究,获得了这个非线性时间分数阶偏微分方程的各类精确解,进一步讨论了这些解的动力学性质,并且通过图像模拟的方式直观地展示了部分精确解的动力学演化行为和动力学现象.
|
| 关 键 词： | 齐次平衡法 变量分离法 精确解 Mittag-Leffler函数 |
| 收稿时间： | 2017/12/22 0:00:00 |
Exact Solutions of Time Fractional Klein-Gordon-Type Equations and Their Dynamical Properties |
| |
| ZHANG Hui,RUI Wei-guo.Exact Solutions of Time Fractional Klein-Gordon-Type Equations and Their Dynamical Properties[J].Journal of Southwest Agricultural University,2019,41(7):77-82. |
| |
| Authors: | ZHANG Hui RUI Wei-guo |
| |
| Institution: | 1. School of Mathematical Science, Chongqing Normal University, Chongqing 401331, China;2. School of General Education, City College, Southwest University of Science and Technology, Mianyang Sichuan 621000, China |
| |
| Abstract: | In this work, based on the method of separation of variables combined with the homogeneous balance principle, we study the time-fractional Klein-Gordon-type equation. Different kinds of the exact solutions of this nonlinear time-fractional partial differential equation are obtained. Further, the dynamic properties of these solutions are discussed and, by means of the simulation way, the dynamic evolution behaviors and dynamic phenomena of some exact solutions are shown intuitively. |
| |
| Keywords: | homogeneous balance method method of separation of variables exact solution Mittag-Leffler function |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《西南农业大学学报》浏览原始摘要信息 |
| 点击此处可从《西南农业大学学报》下载免费的PDF全文 |
