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.
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)
出处
《广西民族大学学报（自然科学版）》
CAS
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)。
关键词
平面动力系统理论
BURGER方程
辅助方程映射法
孤波解
Theory of planer dynamical systems
Time-fractional order Burger equation
Modified extended auxiliary equation mapping method
Solitary wave solutions
