空时分数阶mBBM方程的新精确解

New explicit solutions for the space-time fractional mBBM equation

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.

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.