空时分数阶mBBM方程的新精确解

New explicit solutions for the space-time fractional mBBM equation

作者：康丽(四川师范大学数学与软件科学学院)；孙峪怀(四川师范大学数学与软件科学学院)；廖红梅(四川师范大学数学与软件科学学院)；熊淑雪(四川师范大学数学与软件科学学院)

Author：KANG Li(College of Mathematics and Software Science, Sichuan Normal University)；SUN Yu-Huai(College of Mathematics and Software Science, Sichuan Normal University)；LIAO Hong-Mei(College of Mathematics and Software Science, Sichuan Normal University)；XIONG Shu-Xue(College of Mathematics and Software Science, Sichuan Normal University)

收稿日期：2017-09-27 年卷（期）页码：2018,55(4):673-677

期刊名称：四川大学学报: 自然科学版

Journal Name：Journal of Sichuan University (Natural Science Edition)

关键字：扩展的(G'/G)-展开法; 空时分数阶mBBM方程;精确解

Key words：Extended (G'/G)-expansion method; Space-time fractional mBBM equation; Explicit solution

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）

中文摘要

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.

英文摘要

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.

【关闭】

论文摘要

空时分数阶mBBM方程的新精确解

New explicit solutions for the space-time fractional mBBM equation