摘要
用扩展的Riccati方程有理展开法和椭圆函数有理展开法来精确求解Burgers方程,并分别以高维耦合Burgers方程和(2+1)-维Burgers方程为例来说明这两种算法的有效性.这两种构造Burgers方程精确解的方法也能用于精确求解其他一些非线性偏微分方程(组).
This thesis proposes extended Riccati equation rational expansion method and Jacobi elliptic function rational expansion method to seek exact solutions of Burgers equation.And respectively we take coupling high-dimensional Burgers equation and（2＋1）-dimensional Burgers equation for example to illustrate the effectiveness of the methods.The methods presented for constructing the exact solutions to Burgers equation can also be applied to other nonlinear partial differential equations in the theory of solution.
出处
《南阳师范学院学报》
CAS
2010年第9期4-11,共8页
Journal of Nanyang Normal University
关键词
精确解
扩展的Riccati方程有理展开法
椭圆函数有理展开法
exact solution
extended Riccati equation rational expansion method
elliptic function rational expansion method
