一类空时分数阶混合(1+1)维KdV方程的精确解

Exact solutions for a class of space-time fractional mixed (1+1)-dimensional KdV equations

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.

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.