| 空时分数阶mBBM方程的新精确解 |
| |
| 引用本文： | 康丽,孙峪怀,廖红梅,熊淑雪.空时分数阶mBBM方程的新精确解[J].四川大学学报(自然科学版),2018,55(4):673-677. |
| |
| 作者姓名： | 康丽 孙峪怀 廖红梅 熊淑雪 |
| |
| 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,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）；四川省教育厅重点项目基金（2012ZA135） |
| |
| 摘 要： | 为了构造时空分数阶mBBM方程的新显式解, 本文首先利用分数阶复变换技巧将分数偏微分方程转化为常微分方程, 然后应用扩展的(G''/G)-展开法求解该常微分方程. 新精确解包括分别带有负幂次项的三角函数解, 双曲函数解及有理函数解.
|
| 关 键 词： | 扩展的(G''/G)-展开法 空时分数阶mBBM方程 精确解 |
| 收稿时间： | 2017/9/27 0:00:00 |
| 修稿时间： | 2017/12/20 0:00:00 |
New explicit solutions for the space-time fractional mBBM equation |
| |
| KANG Li,SUN Yu-Huai,LIAO Hong-Mei and XIONG Shu-Xue.New explicit solutions for the space-time fractional mBBM equation[J].Journal of Sichuan University (Natural Science Edition),2018,55(4):673-677. |
| |
| Authors: | KANG Li SUN Yu-Huai LIAO Hong-Mei and XIONG Shu-Xue |
| |
| Institution: | College of Mathematics and Software Science, Sichuan Normal University,College of Mathematics and Software Science, Sichuan Normal University,College of Mathematics and Software Science, Sichuan Normal University and College of Mathematics and Software Science, Sichuan Normal University |
| |
| Abstract: | In order to construct new explicit solutions of the space-time fractional mBBM equation, the fractional complex transformation is applied to turn the fractional partial differential equation into an ordinary differential equation (ODE). Then the extended (G''/G)-expansion method is used to solve the ODE. The new exact solutions contain trigonometric function solutions, hyperbolic function solutions, and rational functions with negative power exponent. |
| |
| Keywords: | Extended (G''/G)-expansion method Space-time fractional mBBM equation Explicit solution |
|
| 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 |
