非线性分数阶Burgers型方程的不变子空间法解析解
Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method
摘要：
本文用不变子空间方法研究Burgers型非线性分数阶方程的解析解。首先研究了一类与时间分数阶Burgers方程直接相关的非线性方程。还考虑了与强迫时间分数Burgers方程和变系数扩散有关的一些推广。最后，我们研究了一个包含空间和时间分数阶导数的Burgers型方程。
英文摘要：
In this paper we study the analytic solutions of Burgers-type nonlinear fractional equations by means of the Invariant Subspace Method. We first study a class of nonlinear equations directly related to the time-fractional Burgers equation. Some generalizations linked to the forced time-fractional Burgers equations and variable-coefficient diffusion are also considered. Finally we study a Burgers-type equation involving both space and time-fractional derivatives.
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