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.
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
关键词
偏微分方程
高阶耦合Burgers方程
显示精确解
partial differential equation
higher order coupled Burgers equations
explicit solutions
