时间分数阶Burger方程的精确表达式  

Exact Expression of Time-fractional Order Burger Equation

作　　者：张练 刘小华 吴念 曾职云 ZHANG Lian;LIU Xiaohua;WU Nian;ZENG Zhiyun(School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]贵州民族大学数据科学与信息工程学院,贵州贵阳550025

出　　处：《广西民族大学学报（自然科学版）》2021年第3期72-80,共9页Journal of Guangxi Minzu University ：Natural Science Edition

基　　金：贵州省科学技术厅项目([2019]1162)。

摘　　要：利用分数复变换将时间分数阶Burger方程转化为等价的非线性常微分方程。通过平面动力系统理论与方法给出等价方程行波解的存在性结论。运用改进的拓展辅助方程映射法给出时间分数阶Burger方程孤立波解新的精确表达式。By using fractional complex transformation,the nonlinear time⁃fractional order Burger equation is transformed into an equivalent nonlinear ordinary differential equation.And the existence of the traveling wave solution of the equivalent equation is obtained through the theory and method of planer dynamic system.The new exact expressions of the time fractional order Burger equation is given by using the improved extended auxiliary equation method.

关 键 词：平面动力系统理论 BURGER方程 辅助方程映射法 孤波解 

分 类 号：O175.29[理学—数学]