| 一类空时分数阶混合(1+1)维KdV方程的精确解 |
| |
| 引用本文： | 李林芳,舒级,文慧霞.一类空时分数阶混合(1+1)维KdV方程的精确解[J].四川大学学报(自然科学版),2018,55(5):912-916. |
| |
| 作者姓名： | 李林芳 舒级 文慧霞 |
| |
| 作者单位： | 四川师范大学数学与软件科学学院,四川师范大学数学与软件科学学院,四川师范大学数学与软件科学学院 |
| |
| 基金项目： | 国家自然科学基金(11371267,11571245); 四川省科技厅应用基础项目基金（2016JY204） |
| |
| 摘 要： | 本文考虑一类具有修正Riemann-Liouville分数阶导数的空时分数阶混合(1+1)维KdV方程.利用分数阶复变换,本文将非线性分数阶偏微分方程转化为非线性常微分方程,然后应用首次积分法和Maple软件得到了该方程的精确解.
|
| 关 键 词： | 修正Riemann-Liouville 分数阶导数 首次积分法 分数阶复变换 空时分数阶混合KdV方程 |
| 收稿时间： | 2017/11/5 0:00:00 |
| 修稿时间： | 2017/12/18 0:00:00 |
Exact solutions for a class of space-time fractional mixed (1+1)-dimensional KdV equations |
| |
| LI Lin-Fang,SHU Ji and WEN Hui-Xia.Exact solutions for a class of space-time fractional mixed (1+1)-dimensional KdV equations[J].Journal of Sichuan University (Natural Science Edition),2018,55(5):912-916. |
| |
| Authors: | LI Lin-Fang SHU Ji and WEN Hui-Xia |
| |
| Institution: | College of Mathematis and Software Science, Sichuan Normal University,College of Mathematics and Software Science, Sichuan Normal University,College of Mathematics and Software Science, Sichuan Normal University |
| |
| Abstract: | Exact solutions of a class of space-time fractional mixed (1+1)-dimensional KdV equations with modified Riemann-Liouville fractional derivative are considered. Firstly, the nonlinear fractional partial differential equations are transformed into the nonlinear ordinary differential equations by means of the fractional complex transformation. Then, by applying the first integral method and Maple software, the exact solutions are obtained. |
| |
| Keywords: | Riemann-Liouville fractional derivative First integral method Fractional complex transformation Space-time fractional Mixed KdV equation |
| 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 |
