高阶耦合Burgers方程的显示精确解  

New Explicit Solutions of Higher Order Coupled Burgers Equations

作　　者：曹生让[1] 

机构地区：[1]江苏联合职业技术学院南京分院,江苏南京210019

出　　处：《长春师范大学学报》2016年第10期1-4,共4页Journal of Changchun Normal University

摘　　要：本文利用一阶常微分扰动系统,借助于Mathematica的符号运算功能,构造了高阶耦合Burgers方程的显示解,得到了sech^2和tanh型的孤子解、周期解、有理解等。In this paper,by using the one order ODE as the disturbance equation and the symbolic toolbox of Mathematica,the solutions of higher order coupled Burgers equations are constructed,and a lot of new explicit solutions are obtained,including the solutions of the type of sech2 and tanh,periodic solutions and rational solutions,etc.

关 键 词：偏微分方程 高阶耦合Burgers方程 显示精确解 

分 类 号：O175.2[理学—数学]