3+1维Burgers方程的Painlevé性质和Bcklund变换及严格解

Painlevé property,Bcklund transformation and exact solutions of 3 + 1 dimensional Burgers equation

3+1维的Burgers方程是物理学的重要方程之一.利用奇性分析方法证明了3+1维Burgers方程的Painlevé性质;然后,利用截断的Painlevé展开给出了3+1维Burgers方程的Bcklund变换;最后,由简单的特解出发,利用贝克隆变换得到了3+1维Burgers方程的大量新解.

dimensional Burgers equation had been one of the most equations in physics. By singularity analysis, the Painleve property of the 3 ＋ 1 dimensional Burgers was proved. By using truncated Painlev6 expansion, the Backlund transformation of the model was obtained. Moreover, a simple known solution, various new exact solutions were obtained via Backlund transformation. means of the the standard starting from