摘要
Burgers equation is the simplest one in soliton theory, which has been widely applied in almost all the physical branches. In this paper, we discuss the Painleve property of the （3＋1）-dimensional Burgers equation, and then Becklund transformation is derived according to the truncated expansion of the obtained Painleve analysis. Using the Backlund transformation, we find the rouge wave solutions to the equation via the multilinear variable separation approach. And we aiso give an exact solution obtained by general variable separation approach, which is proved to possess abundant structures.
基金
Supported by National Natural Science Foundation of China under Grant Nos.11175092,11275123,11205092
Ningbo University Discipline Project under Grant No.xkzl1008
K.C.Wong Magna Fund in Ningbo University
