分数阶对偶Burger方程的精确解

计算机工程与应用 ›› 2016, Vol. 52 ›› Issue (10): 6-8.

分数阶对偶Burger方程的精确解

闫立梅，刘艳芹，尹秀玲

德州学院数学科学学院，山东德州 253023

出版日期:2016-05-15 发布日期:2016-05-16

Exact solutions of fractional coupled burger equations

YAN Limei, LIU Yanqin, YIN Xiuling

School of Mathematical Sciences, Dezhou University, Dezhou, Shandong 253023, China

Online:2016-05-15 Published:2016-05-16

摘要/Abstract

摘要： 将分数阶复变换方法和tanh函数方法相结合，得到了一种用来求解时-空分数阶非线性微分方程精确解的复变换-tanh函数方法。借助于软件Mathematica的符号计算功能，使用该方法求解了分数阶对偶Burger方程，得到了分数阶对偶Burger方程的新的精确解。

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关键词: 复变换-tanh函数方法, 修正Riemann-Liouville导数, 时空分数阶对偶Burger方程

Abstract: An improved extended tanh-function method, which combines fractional transform and extended tanh-function method, is abtained to find exact solutions of nonlinear space-time fractional differential equations. With the aid of computation software mathematical, space-time fractional coupled Berger equations are solved, some new exact solutions are gained by the method.

Key words: complex-transform-Tanh-function method, modified Riemann-Liouville derivative, space-time fractional coupled Burger equations

闫立梅，刘艳芹，尹秀玲. 分数阶对偶Burger方程的精确解[J]. 计算机工程与应用, 2016, 52(10): 6-8.

YAN Limei, LIU Yanqin, YIN Xiuling. Exact solutions of fractional coupled burger equations[J]. Computer Engineering and Applications, 2016, 52(10): 6-8.